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Finding the Fourth Proportional to 242,638.40, 363,892.80 and 74,158.40

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Solution

The fourth proportional to 242,638.40, 363,892.80 and 74,158.40 is: 111,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,638.40 : 363,892.80 = 74,158.40 : x
  2. Step 2: Convert to fraction form
    242,638.40/363,892.80 = 74,158.40/x
  3. Step 3: Cross multiply
    242,638.40x = 363,892.80 × 74,158.40
  4. Step 4: Simplify right side
    242,638.40x = 26,985,707,819.52
  5. Step 5: Solve for x
    x = 26,985,707,819.52/242,638.40
  6. Step 6: Final answer
    x = 111,217.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.