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Finding the Fourth Proportional to 120,264.01, 165,854.69 and 103,262.92

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Solution

The fourth proportional to 120,264.01, 165,854.69 and 103,262.92 is: 142,408.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,264.01 : 165,854.69 = 103,262.92 : x
  2. Step 2: Convert to fraction form
    120,264.01/165,854.69 = 103,262.92/x
  3. Step 3: Cross multiply
    120,264.01x = 165,854.69 × 103,262.92
  4. Step 4: Simplify right side
    120,264.01x = 17,126,639,041.38
  5. Step 5: Solve for x
    x = 17,126,639,041.38/120,264.01
  6. Step 6: Final answer
    x = 142,408.68

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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.