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Finding the Fourth Proportional to 48,669, 73,031.60 and 20,587.20

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Solution

The fourth proportional to 48,669, 73,031.60 and 20,587.20 is: 30,892.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,669 : 73,031.60 = 20,587.20 : x
  2. Step 2: Convert to fraction form
    48,669/73,031.60 = 20,587.20/x
  3. Step 3: Cross multiply
    48,669x = 73,031.60 × 20,587.20
  4. Step 4: Simplify right side
    48,669x = 1,503,516,155.52
  5. Step 5: Solve for x
    x = 1,503,516,155.52/48,669
  6. Step 6: Final answer
    x = 30,892.69

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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.