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Finding the Fourth Proportional to 73,139.76, 109,712.52 and 20,553.84

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Solution

The fourth proportional to 73,139.76, 109,712.52 and 20,553.84 is: 30,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,139.76 : 109,712.52 = 20,553.84 : x
  2. Step 2: Convert to fraction form
    73,139.76/109,712.52 = 20,553.84/x
  3. Step 3: Cross multiply
    73,139.76x = 109,712.52 × 20,553.84
  4. Step 4: Simplify right side
    73,139.76x = 2,255,013,582.08
  5. Step 5: Solve for x
    x = 2,255,013,582.08/73,139.76
  6. Step 6: Final answer
    x = 30,831.57

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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.