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Finding the Fourth Proportional to 78,487.80, 117,731.70 and 34,135.80

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Solution

The fourth proportional to 78,487.80, 117,731.70 and 34,135.80 is: 51,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,487.80 : 117,731.70 = 34,135.80 : x
  2. Step 2: Convert to fraction form
    78,487.80/117,731.70 = 34,135.80/x
  3. Step 3: Cross multiply
    78,487.80x = 117,731.70 × 34,135.80
  4. Step 4: Simplify right side
    78,487.80x = 4,018,865,764.86
  5. Step 5: Solve for x
    x = 4,018,865,764.86/78,487.80
  6. Step 6: Final answer
    x = 51,203.70

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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.