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Finding the Fourth Proportional to 78,262.47, 107,882.37 and 47,991.66

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Solution

The fourth proportional to 78,262.47, 107,882.37 and 47,991.66 is: 66,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,262.47 : 107,882.37 = 47,991.66 : x
  2. Step 2: Convert to fraction form
    78,262.47/107,882.37 = 47,991.66/x
  3. Step 3: Cross multiply
    78,262.47x = 107,882.37 × 47,991.66
  4. Step 4: Simplify right side
    78,262.47x = 5,177,454,201.00
  5. Step 5: Solve for x
    x = 5,177,454,201.00/78,262.47
  6. Step 6: Final answer
    x = 66,155.01

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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.