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Finding the Fourth Proportional to 120,153.68, 165,824.18 and 66,442.76

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Solution

The fourth proportional to 120,153.68, 165,824.18 and 66,442.76 is: 91,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,153.68 : 165,824.18 = 66,442.76 : x
  2. Step 2: Convert to fraction form
    120,153.68/165,824.18 = 66,442.76/x
  3. Step 3: Cross multiply
    120,153.68x = 165,824.18 × 66,442.76
  4. Step 4: Simplify right side
    120,153.68x = 11,017,816,193.94
  5. Step 5: Solve for x
    x = 11,017,816,193.94/120,153.68
  6. Step 6: Final answer
    x = 91,697.70

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1.5x scale

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.