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Finding the Fourth Proportional to 170,896,218.80, 256,543,393.80 and 102,815,783.60

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Solution

The fourth proportional to 170,896,218.80, 256,543,393.80 and 102,815,783.60 is: 154,343,438.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,896,218.80 : 256,543,393.80 = 102,815,783.60 : x
  2. Step 2: Convert to fraction form
    170,896,218.80/256,543,393.80 = 102,815,783.60/x
  3. Step 3: Cross multiply
    170,896,218.80x = 256,543,393.80 × 102,815,783.60
  4. Step 4: Simplify right side
    170,896,218.80x = 26,376,710,060,950,380
  5. Step 5: Solve for x
    x = 26,376,710,060,950,380/170,896,218.80
  6. Step 6: Final answer
    x = 154,343,438.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.