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Finding the Fourth Proportional to 102,475.80, 153,569.70 and 81,451.80

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Solution

The fourth proportional to 102,475.80, 153,569.70 and 81,451.80 is: 122,063.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,475.80 : 153,569.70 = 81,451.80 : x
  2. Step 2: Convert to fraction form
    102,475.80/153,569.70 = 81,451.80/x
  3. Step 3: Cross multiply
    102,475.80x = 153,569.70 × 81,451.80
  4. Step 4: Simplify right side
    102,475.80x = 12,508,528,490.46
  5. Step 5: Solve for x
    x = 12,508,528,490.46/102,475.80
  6. Step 6: Final answer
    x = 122,063.24

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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.