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Finding the Fourth Proportional to 120,397.52, 180,602.76 and 50,206.16

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Solution

The fourth proportional to 120,397.52, 180,602.76 and 50,206.16 is: 75,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,397.52 : 180,602.76 = 50,206.16 : x
  2. Step 2: Convert to fraction form
    120,397.52/180,602.76 = 50,206.16/x
  3. Step 3: Cross multiply
    120,397.52x = 180,602.76 × 50,206.16
  4. Step 4: Simplify right side
    120,397.52x = 9,067,371,065.00
  5. Step 5: Solve for x
    x = 9,067,371,065.00/120,397.52
  6. Step 6: Final answer
    x = 75,311.94

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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.