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Finding the Fourth Proportional to 123,670.80, 185,506.20 and 109,892.70

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Solution

The fourth proportional to 123,670.80, 185,506.20 and 109,892.70 is: 164,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,670.80 : 185,506.20 = 109,892.70 : x
  2. Step 2: Convert to fraction form
    123,670.80/185,506.20 = 109,892.70/x
  3. Step 3: Cross multiply
    123,670.80x = 185,506.20 × 109,892.70
  4. Step 4: Simplify right side
    123,670.80x = 20,385,777,184.74
  5. Step 5: Solve for x
    x = 20,385,777,184.74/123,670.80
  6. Step 6: Final answer
    x = 164,839.05

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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.