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Finding the Fourth Proportional to 120,387.88, 166,080.12 and 77,960.08

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Solution

The fourth proportional to 120,387.88, 166,080.12 and 77,960.08 is: 107,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,387.88 : 166,080.12 = 77,960.08 : x
  2. Step 2: Convert to fraction form
    120,387.88/166,080.12 = 77,960.08/x
  3. Step 3: Cross multiply
    120,387.88x = 166,080.12 × 77,960.08
  4. Step 4: Simplify right side
    120,387.88x = 12,947,619,441.61
  5. Step 5: Solve for x
    x = 12,947,619,441.61/120,387.88
  6. Step 6: Final answer
    x = 107,549.19

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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.