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Finding the Fourth Proportional to 83,722.40, 125,510.70 and 50,407.10

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Solution

The fourth proportional to 83,722.40, 125,510.70 and 50,407.10 is: 75,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,722.40 : 125,510.70 = 50,407.10 : x
  2. Step 2: Convert to fraction form
    83,722.40/125,510.70 = 50,407.10/x
  3. Step 3: Cross multiply
    83,722.40x = 125,510.70 × 50,407.10
  4. Step 4: Simplify right side
    83,722.40x = 6,326,630,405.97
  5. Step 5: Solve for x
    x = 6,326,630,405.97/83,722.40
  6. Step 6: Final answer
    x = 75,566.76

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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.