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Finding the Fourth Proportional to 132,843.18, 183,319.92 and 72,415

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Solution

The fourth proportional to 132,843.18, 183,319.92 and 72,415 is: 99,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,843.18 : 183,319.92 = 72,415 : x
  2. Step 2: Convert to fraction form
    132,843.18/183,319.92 = 72,415/x
  3. Step 3: Cross multiply
    132,843.18x = 183,319.92 × 72,415
  4. Step 4: Simplify right side
    132,843.18x = 13,275,112,006.80
  5. Step 5: Solve for x
    x = 13,275,112,006.80/132,843.18
  6. Step 6: Final answer
    x = 99,930.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.