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Finding the Fourth Proportional to 123,981.60, 185,972.40 and 82,428.60

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Solution

The fourth proportional to 123,981.60, 185,972.40 and 82,428.60 is: 123,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,981.60 : 185,972.40 = 82,428.60 : x
  2. Step 2: Convert to fraction form
    123,981.60/185,972.40 = 82,428.60/x
  3. Step 3: Cross multiply
    123,981.60x = 185,972.40 × 82,428.60
  4. Step 4: Simplify right side
    123,981.60x = 15,329,444,570.64
  5. Step 5: Solve for x
    x = 15,329,444,570.64/123,981.60
  6. Step 6: Final answer
    x = 123,642.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.