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Finding the Fourth Proportional to 102,416, 141,341.28 and 57,704

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Solution

The fourth proportional to 102,416, 141,341.28 and 57,704 is: 79,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,416 : 141,341.28 = 57,704 : x
  2. Step 2: Convert to fraction form
    102,416/141,341.28 = 57,704/x
  3. Step 3: Cross multiply
    102,416x = 141,341.28 × 57,704
  4. Step 4: Simplify right side
    102,416x = 8,155,957,221.12
  5. Step 5: Solve for x
    x = 8,155,957,221.12/102,416
  6. Step 6: Final answer
    x = 79,635.58

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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.