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Finding the Fourth Proportional to 176,755, 243,881.49 and 100,255.81

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Solution

The fourth proportional to 176,755, 243,881.49 and 100,255.81 is: 138,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,755 : 243,881.49 = 100,255.81 : x
  2. Step 2: Convert to fraction form
    176,755/243,881.49 = 100,255.81/x
  3. Step 3: Cross multiply
    176,755x = 243,881.49 × 100,255.81
  4. Step 4: Simplify right side
    176,755x = 24,450,536,323.96
  5. Step 5: Solve for x
    x = 24,450,536,323.96/176,755
  6. Step 6: Final answer
    x = 138,330.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.