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Finding the Fourth Proportional to 120,148.29, 165,792.95 and 66,425.95

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Solution

The fourth proportional to 120,148.29, 165,792.95 and 66,425.95 is: 91,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148.29 : 165,792.95 = 66,425.95 : x
  2. Step 2: Convert to fraction form
    120,148.29/165,792.95 = 66,425.95/x
  3. Step 3: Cross multiply
    120,148.29x = 165,792.95 × 66,425.95
  4. Step 4: Simplify right side
    120,148.29x = 11,012,954,207.05
  5. Step 5: Solve for x
    x = 11,012,954,207.05/120,148.29
  6. Step 6: Final answer
    x = 91,661.35

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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.