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Finding the Fourth Proportional to 78,310.90, 108,069.12 and 42,500.93

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Solution

The fourth proportional to 78,310.90, 108,069.12 and 42,500.93 is: 58,651.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310.90 : 108,069.12 = 42,500.93 : x
  2. Step 2: Convert to fraction form
    78,310.90/108,069.12 = 42,500.93/x
  3. Step 3: Cross multiply
    78,310.90x = 108,069.12 × 42,500.93
  4. Step 4: Simplify right side
    78,310.90x = 4,593,038,104.28
  5. Step 5: Solve for x
    x = 4,593,038,104.28/78,310.90
  6. Step 6: Final answer
    x = 58,651.33

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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.