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Finding the Fourth Proportional to 78,310.56, 108,068.62 and 42,500.56

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Solution

The fourth proportional to 78,310.56, 108,068.62 and 42,500.56 is: 58,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310.56 : 108,068.62 = 42,500.56 : x
  2. Step 2: Convert to fraction form
    78,310.56/108,068.62 = 42,500.56/x
  3. Step 3: Cross multiply
    78,310.56x = 108,068.62 × 42,500.56
  4. Step 4: Simplify right side
    78,310.56x = 4,592,976,868.43
  5. Step 5: Solve for x
    x = 4,592,976,868.43/78,310.56
  6. Step 6: Final answer
    x = 58,650.80

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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.