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Finding the Fourth Proportional to 61,617.39, 85,055 and 47,978.43

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Solution

The fourth proportional to 61,617.39, 85,055 and 47,978.43 is: 66,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,617.39 : 85,055 = 47,978.43 : x
  2. Step 2: Convert to fraction form
    61,617.39/85,055 = 47,978.43/x
  3. Step 3: Cross multiply
    61,617.39x = 85,055 × 47,978.43
  4. Step 4: Simplify right side
    61,617.39x = 4,080,805,363.65
  5. Step 5: Solve for x
    x = 4,080,805,363.65/61,617.39
  6. Step 6: Final answer
    x = 66,228.14

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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.