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Finding the Fourth Proportional to 78,385.78, 117,578.13 and 31,637.98

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Solution

The fourth proportional to 78,385.78, 117,578.13 and 31,637.98 is: 47,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,385.78 : 117,578.13 = 31,637.98 : x
  2. Step 2: Convert to fraction form
    78,385.78/117,578.13 = 31,637.98/x
  3. Step 3: Cross multiply
    78,385.78x = 117,578.13 × 31,637.98
  4. Step 4: Simplify right side
    78,385.78x = 3,719,934,525.38
  5. Step 5: Solve for x
    x = 3,719,934,525.38/78,385.78
  6. Step 6: Final answer
    x = 47,456.75

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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.