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Finding the Fourth Proportional to 78,164.91, 107,869.56 and 47,966.91

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Solution

The fourth proportional to 78,164.91, 107,869.56 and 47,966.91 is: 66,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,164.91 : 107,869.56 = 47,966.91 : x
  2. Step 2: Convert to fraction form
    78,164.91/107,869.56 = 47,966.91/x
  3. Step 3: Cross multiply
    78,164.91x = 107,869.56 × 47,966.91
  4. Step 4: Simplify right side
    78,164.91x = 5,174,169,476.26
  5. Step 5: Solve for x
    x = 5,174,169,476.26/78,164.91
  6. Step 6: Final answer
    x = 66,195.55

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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.