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Finding the Fourth Proportional to 120,508.44, 166,301.40 and 72,752.40

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Solution

The fourth proportional to 120,508.44, 166,301.40 and 72,752.40 is: 100,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,508.44 : 166,301.40 = 72,752.40 : x
  2. Step 2: Convert to fraction form
    120,508.44/166,301.40 = 72,752.40/x
  3. Step 3: Cross multiply
    120,508.44x = 166,301.40 × 72,752.40
  4. Step 4: Simplify right side
    120,508.44x = 12,098,825,973.36
  5. Step 5: Solve for x
    x = 12,098,825,973.36/120,508.44
  6. Step 6: Final answer
    x = 100,398.16

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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.