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Finding the Fourth Proportional to 87,425.82, 120,657.87 and 49,705.74

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Solution

The fourth proportional to 87,425.82, 120,657.87 and 49,705.74 is: 68,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,425.82 : 120,657.87 = 49,705.74 : x
  2. Step 2: Convert to fraction form
    87,425.82/120,657.87 = 49,705.74/x
  3. Step 3: Cross multiply
    87,425.82x = 120,657.87 × 49,705.74
  4. Step 4: Simplify right side
    87,425.82x = 5,997,388,715.17
  5. Step 5: Solve for x
    x = 5,997,388,715.17/87,425.82
  6. Step 6: Final answer
    x = 68,599.74

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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.