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Finding the Fourth Proportional to 120,264.60, 165,965.16 and 66,549.83

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Solution

The fourth proportional to 120,264.60, 165,965.16 and 66,549.83 is: 91,838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,264.60 : 165,965.16 = 66,549.83 : x
  2. Step 2: Convert to fraction form
    120,264.60/165,965.16 = 66,549.83/x
  3. Step 3: Cross multiply
    120,264.60x = 165,965.16 × 66,549.83
  4. Step 4: Simplify right side
    120,264.60x = 11,044,952,354.10
  5. Step 5: Solve for x
    x = 11,044,952,354.10/120,264.60
  6. Step 6: Final answer
    x = 91,838.77

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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.