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Finding the Fourth Proportional to 78,310.46, 108,068.52 and 42,500.50

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Solution

The fourth proportional to 78,310.46, 108,068.52 and 42,500.50 is: 58,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,310.46 : 108,068.52 = 42,500.50 : x
  2. Step 2: Convert to fraction form
    78,310.46/108,068.52 = 42,500.50/x
  3. Step 3: Cross multiply
    78,310.46x = 108,068.52 × 42,500.50
  4. Step 4: Simplify right side
    78,310.46x = 4,592,965,864.09
  5. Step 5: Solve for x
    x = 4,592,965,864.09/78,310.46
  6. Step 6: Final answer
    x = 58,650.73

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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.