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Finding the Fourth Proportional to 120,306.52, 165,912.69 and 103,304.98

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Solution

The fourth proportional to 120,306.52, 165,912.69 and 103,304.98 is: 142,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,306.52 : 165,912.69 = 103,304.98 : x
  2. Step 2: Convert to fraction form
    120,306.52/165,912.69 = 103,304.98/x
  3. Step 3: Cross multiply
    120,306.52x = 165,912.69 × 103,304.98
  4. Step 4: Simplify right side
    120,306.52x = 17,139,607,122.20
  5. Step 5: Solve for x
    x = 17,139,607,122.20/120,306.52
  6. Step 6: Final answer
    x = 142,466.15

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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.