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Finding the Fourth Proportional to 102,493.52, 141,441.02 and 57,781.52

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Solution

The fourth proportional to 102,493.52, 141,441.02 and 57,781.52 is: 79,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,493.52 : 141,441.02 = 57,781.52 : x
  2. Step 2: Convert to fraction form
    102,493.52/141,441.02 = 57,781.52/x
  3. Step 3: Cross multiply
    102,493.52x = 141,441.02 × 57,781.52
  4. Step 4: Simplify right side
    102,493.52x = 8,172,677,125.95
  5. Step 5: Solve for x
    x = 8,172,677,125.95/102,493.52
  6. Step 6: Final answer
    x = 79,738.48

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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.