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Finding the Fourth Proportional to 86,134.43, 118,865.84 and 47,897.46

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Solution

The fourth proportional to 86,134.43, 118,865.84 and 47,897.46 is: 66,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,134.43 : 118,865.84 = 47,897.46 : x
  2. Step 2: Convert to fraction form
    86,134.43/118,865.84 = 47,897.46/x
  3. Step 3: Cross multiply
    86,134.43x = 118,865.84 × 47,897.46
  4. Step 4: Simplify right side
    86,134.43x = 5,693,372,382.26
  5. Step 5: Solve for x
    x = 5,693,372,382.26/86,134.43
  6. Step 6: Final answer
    x = 66,098.69

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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.