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Finding the Fourth Proportional to 123,781.80, 185,734.12 and 48,955.62

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Solution

The fourth proportional to 123,781.80, 185,734.12 and 48,955.62 is: 73,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,781.80 : 185,734.12 = 48,955.62 : x
  2. Step 2: Convert to fraction form
    123,781.80/185,734.12 = 48,955.62/x
  3. Step 3: Cross multiply
    123,781.80x = 185,734.12 × 48,955.62
  4. Step 4: Simplify right side
    123,781.80x = 9,092,728,999.75
  5. Step 5: Solve for x
    x = 9,092,728,999.75/123,781.80
  6. Step 6: Final answer
    x = 73,457.72

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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.