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Finding the Fourth Proportional to 268,174.94, 402,250.10 and 78,627.66

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Solution

The fourth proportional to 268,174.94, 402,250.10 and 78,627.66 is: 117,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,174.94 : 402,250.10 = 78,627.66 : x
  2. Step 2: Convert to fraction form
    268,174.94/402,250.10 = 78,627.66/x
  3. Step 3: Cross multiply
    268,174.94x = 402,250.10 × 78,627.66
  4. Step 4: Simplify right side
    268,174.94x = 31,627,984,097.77
  5. Step 5: Solve for x
    x = 31,627,984,097.77/268,174.94
  6. Step 6: Final answer
    x = 117,937.88

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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.