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Finding the Fourth Proportional to 102,685.57, 141,701.02 and 57,354.53

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Solution

The fourth proportional to 102,685.57, 141,701.02 and 57,354.53 is: 79,146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,685.57 : 141,701.02 = 57,354.53 : x
  2. Step 2: Convert to fraction form
    102,685.57/141,701.02 = 57,354.53/x
  3. Step 3: Cross multiply
    102,685.57x = 141,701.02 × 57,354.53
  4. Step 4: Simplify right side
    102,685.57x = 8,127,194,550.73
  5. Step 5: Solve for x
    x = 8,127,194,550.73/102,685.57
  6. Step 6: Final answer
    x = 79,146.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.