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Finding the Fourth Proportional to 73,141.52, 109,712.76 and 20,552

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Solution

The fourth proportional to 73,141.52, 109,712.76 and 20,552 is: 30,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,141.52 : 109,712.76 = 20,552 : x
  2. Step 2: Convert to fraction form
    73,141.52/109,712.76 = 20,552/x
  3. Step 3: Cross multiply
    73,141.52x = 109,712.76 × 20,552
  4. Step 4: Simplify right side
    73,141.52x = 2,254,816,643.52
  5. Step 5: Solve for x
    x = 2,254,816,643.52/73,141.52
  6. Step 6: Final answer
    x = 30,828.13

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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.