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Finding the Fourth Proportional to 354,843.52, 532,109.76 and 133,072

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Solution

The fourth proportional to 354,843.52, 532,109.76 and 133,072 is: 199,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,843.52 : 532,109.76 = 133,072 : x
  2. Step 2: Convert to fraction form
    354,843.52/532,109.76 = 133,072/x
  3. Step 3: Cross multiply
    354,843.52x = 532,109.76 × 133,072
  4. Step 4: Simplify right side
    354,843.52x = 70,808,909,982.72
  5. Step 5: Solve for x
    x = 70,808,909,982.72/354,843.52
  6. Step 6: Final answer
    x = 199,549.68

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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.