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Finding the Fourth Proportional to 72,498.78, 100,082.52 and 48,641.04

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Solution

The fourth proportional to 72,498.78, 100,082.52 and 48,641.04 is: 67,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,498.78 : 100,082.52 = 48,641.04 : x
  2. Step 2: Convert to fraction form
    72,498.78/100,082.52 = 48,641.04/x
  3. Step 3: Cross multiply
    72,498.78x = 100,082.52 × 48,641.04
  4. Step 4: Simplify right side
    72,498.78x = 4,868,117,858.62
  5. Step 5: Solve for x
    x = 4,868,117,858.62/72,498.78
  6. Step 6: Final answer
    x = 67,147.58

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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.