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Finding the Fourth Proportional to 122,043.52, 182,734.89 and 86,358.16

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Solution

The fourth proportional to 122,043.52, 182,734.89 and 86,358.16 is: 129,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,043.52 : 182,734.89 = 86,358.16 : x
  2. Step 2: Convert to fraction form
    122,043.52/182,734.89 = 86,358.16/x
  3. Step 3: Cross multiply
    122,043.52x = 182,734.89 × 86,358.16
  4. Step 4: Simplify right side
    122,043.52x = 15,780,648,868.20
  5. Step 5: Solve for x
    x = 15,780,648,868.20/122,043.52
  6. Step 6: Final answer
    x = 129,303.46

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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.