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Finding the Fourth Proportional to 120,165.46, 165,829.42 and 66,454.08

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Solution

The fourth proportional to 120,165.46, 165,829.42 and 66,454.08 is: 91,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,165.46 : 165,829.42 = 66,454.08 : x
  2. Step 2: Convert to fraction form
    120,165.46/165,829.42 = 66,454.08/x
  3. Step 3: Cross multiply
    120,165.46x = 165,829.42 × 66,454.08
  4. Step 4: Simplify right side
    120,165.46x = 11,020,041,543.03
  5. Step 5: Solve for x
    x = 11,020,041,543.03/120,165.46
  6. Step 6: Final answer
    x = 91,707.23

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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.