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Finding the Fourth Proportional to 86,116.26, 118,842.48 and 47,876.97

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Solution

The fourth proportional to 86,116.26, 118,842.48 and 47,876.97 is: 66,071.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,116.26 : 118,842.48 = 47,876.97 : x
  2. Step 2: Convert to fraction form
    86,116.26/118,842.48 = 47,876.97/x
  3. Step 3: Cross multiply
    86,116.26x = 118,842.48 × 47,876.97
  4. Step 4: Simplify right side
    86,116.26x = 5,689,817,849.69
  5. Step 5: Solve for x
    x = 5,689,817,849.69/86,116.26
  6. Step 6: Final answer
    x = 66,071.35

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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.