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Finding the Fourth Proportional to 72,930.47, 109,414.16 and 20,339.96

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Solution

The fourth proportional to 72,930.47, 109,414.16 and 20,339.96 is: 30,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,930.47 : 109,414.16 = 20,339.96 : x
  2. Step 2: Convert to fraction form
    72,930.47/109,414.16 = 20,339.96/x
  3. Step 3: Cross multiply
    72,930.47x = 109,414.16 × 20,339.96
  4. Step 4: Simplify right side
    72,930.47x = 2,225,478,989.06
  5. Step 5: Solve for x
    x = 2,225,478,989.06/72,930.47
  6. Step 6: Final answer
    x = 30,515.08

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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.