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Finding the Fourth Proportional to 120,246.60, 165,826.70 and 89,687.10

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Solution

The fourth proportional to 120,246.60, 165,826.70 and 89,687.10 is: 123,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,246.60 : 165,826.70 = 89,687.10 : x
  2. Step 2: Convert to fraction form
    120,246.60/165,826.70 = 89,687.10/x
  3. Step 3: Cross multiply
    120,246.60x = 165,826.70 × 89,687.10
  4. Step 4: Simplify right side
    120,246.60x = 14,872,515,825.57
  5. Step 5: Solve for x
    x = 14,872,515,825.57/120,246.60
  6. Step 6: Final answer
    x = 123,683.46

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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.