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Finding the Fourth Proportional to 86,116.84, 118,844.76 and 48,391

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Solution

The fourth proportional to 86,116.84, 118,844.76 and 48,391 is: 66,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,116.84 : 118,844.76 = 48,391 : x
  2. Step 2: Convert to fraction form
    86,116.84/118,844.76 = 48,391/x
  3. Step 3: Cross multiply
    86,116.84x = 118,844.76 × 48,391
  4. Step 4: Simplify right side
    86,116.84x = 5,751,016,781.16
  5. Step 5: Solve for x
    x = 5,751,016,781.16/86,116.84
  6. Step 6: Final answer
    x = 66,781.56

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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.