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Finding the Fourth Proportional to 102,285.80, 153,284.70 and 81,261.80

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Solution

The fourth proportional to 102,285.80, 153,284.70 and 81,261.80 is: 121,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,285.80 : 153,284.70 = 81,261.80 : x
  2. Step 2: Convert to fraction form
    102,285.80/153,284.70 = 81,261.80/x
  3. Step 3: Cross multiply
    102,285.80x = 153,284.70 × 81,261.80
  4. Step 4: Simplify right side
    102,285.80x = 12,456,190,634.46
  5. Step 5: Solve for x
    x = 12,456,190,634.46/102,285.80
  6. Step 6: Final answer
    x = 121,778.30

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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.