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Finding the Fourth Proportional to 118,781.29, 178,204.74 and 105,724.90

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Solution

The fourth proportional to 118,781.29, 178,204.74 and 105,724.90 is: 158,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,781.29 : 178,204.74 = 105,724.90 : x
  2. Step 2: Convert to fraction form
    118,781.29/178,204.74 = 105,724.90/x
  3. Step 3: Cross multiply
    118,781.29x = 178,204.74 × 105,724.90
  4. Step 4: Simplify right side
    118,781.29x = 18,840,678,316.03
  5. Step 5: Solve for x
    x = 18,840,678,316.03/118,781.29
  6. Step 6: Final answer
    x = 158,616.55

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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.