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Finding the Fourth Proportional to 120,781.88, 180,359.47 and 98,639.18

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Solution

The fourth proportional to 120,781.88, 180,359.47 and 98,639.18 is: 147,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781.88 : 180,359.47 = 98,639.18 : x
  2. Step 2: Convert to fraction form
    120,781.88/180,359.47 = 98,639.18/x
  3. Step 3: Cross multiply
    120,781.88x = 180,359.47 × 98,639.18
  4. Step 4: Simplify right side
    120,781.88x = 17,790,510,226.03
  5. Step 5: Solve for x
    x = 17,790,510,226.03/120,781.88
  6. Step 6: Final answer
    x = 147,294.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.