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Finding the Fourth Proportional to 78,397.82, 117,748 and 67,178.52

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Solution

The fourth proportional to 78,397.82, 117,748 and 67,178.52 is: 100,897.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,397.82 : 117,748 = 67,178.52 : x
  2. Step 2: Convert to fraction form
    78,397.82/117,748 = 67,178.52/x
  3. Step 3: Cross multiply
    78,397.82x = 117,748 × 67,178.52
  4. Step 4: Simplify right side
    78,397.82x = 7,910,136,372.96
  5. Step 5: Solve for x
    x = 7,910,136,372.96/78,397.82
  6. Step 6: Final answer
    x = 100,897.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.