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Finding the Fourth Proportional to 102,418, 141,339 and 57,706

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Solution

The fourth proportional to 102,418, 141,339 and 57,706 is: 79,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,418 : 141,339 = 57,706 : x
  2. Step 2: Convert to fraction form
    102,418/141,339 = 57,706/x
  3. Step 3: Cross multiply
    102,418x = 141,339 × 57,706
  4. Step 4: Simplify right side
    102,418x = 8,156,108,334
  5. Step 5: Solve for x
    x = 8,156,108,334/102,418
  6. Step 6: Final answer
    x = 79,635.50

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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.