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Finding the Fourth Proportional to 78,101.52, 107,788.05 and 56,315.71

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Solution

The fourth proportional to 78,101.52, 107,788.05 and 56,315.71 is: 77,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,101.52 : 107,788.05 = 56,315.71 : x
  2. Step 2: Convert to fraction form
    78,101.52/107,788.05 = 56,315.71/x
  3. Step 3: Cross multiply
    78,101.52x = 107,788.05 × 56,315.71
  4. Step 4: Simplify right side
    78,101.52x = 6,070,160,565.27
  5. Step 5: Solve for x
    x = 6,070,160,565.27/78,101.52
  6. Step 6: Final answer
    x = 77,721.41

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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.