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Finding the Fourth Proportional to 73,143.52, 109,715.76 and 20,554

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Solution

The fourth proportional to 73,143.52, 109,715.76 and 20,554 is: 30,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,143.52 : 109,715.76 = 20,554 : x
  2. Step 2: Convert to fraction form
    73,143.52/109,715.76 = 20,554/x
  3. Step 3: Cross multiply
    73,143.52x = 109,715.76 × 20,554
  4. Step 4: Simplify right side
    73,143.52x = 2,255,097,731.04
  5. Step 5: Solve for x
    x = 2,255,097,731.04/73,143.52
  6. Step 6: Final answer
    x = 30,831.13

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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.