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Finding the Fourth Proportional to 230,031.10, 345,046.65 and 72,259.30

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Solution

The fourth proportional to 230,031.10, 345,046.65 and 72,259.30 is: 108,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,031.10 : 345,046.65 = 72,259.30 : x
  2. Step 2: Convert to fraction form
    230,031.10/345,046.65 = 72,259.30/x
  3. Step 3: Cross multiply
    230,031.10x = 345,046.65 × 72,259.30
  4. Step 4: Simplify right side
    230,031.10x = 24,932,829,396.35
  5. Step 5: Solve for x
    x = 24,932,829,396.35/230,031.10
  6. Step 6: Final answer
    x = 108,388.95

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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.