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Finding the Fourth Proportional to 100,442.76, 138,609.72 and 58,000.32

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Solution

The fourth proportional to 100,442.76, 138,609.72 and 58,000.32 is: 80,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,442.76 : 138,609.72 = 58,000.32 : x
  2. Step 2: Convert to fraction form
    100,442.76/138,609.72 = 58,000.32/x
  3. Step 3: Cross multiply
    100,442.76x = 138,609.72 × 58,000.32
  4. Step 4: Simplify right side
    100,442.76x = 8,039,408,115.11
  5. Step 5: Solve for x
    x = 8,039,408,115.11/100,442.76
  6. Step 6: Final answer
    x = 80,039.70

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1.5x scale

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.