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Finding the Fourth Proportional to 42,805.20, 64,207.80 and 30,339.30

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Solution

The fourth proportional to 42,805.20, 64,207.80 and 30,339.30 is: 45,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,805.20 : 64,207.80 = 30,339.30 : x
  2. Step 2: Convert to fraction form
    42,805.20/64,207.80 = 30,339.30/x
  3. Step 3: Cross multiply
    42,805.20x = 64,207.80 × 30,339.30
  4. Step 4: Simplify right side
    42,805.20x = 1,948,019,706.54
  5. Step 5: Solve for x
    x = 1,948,019,706.54/42,805.20
  6. Step 6: Final answer
    x = 45,508.95

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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.