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Finding the Fourth Proportional to 72,100.38, 107,999.75 and 57,983.97

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Solution

The fourth proportional to 72,100.38, 107,999.75 and 57,983.97 is: 86,854.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,100.38 : 107,999.75 = 57,983.97 : x
  2. Step 2: Convert to fraction form
    72,100.38/107,999.75 = 57,983.97/x
  3. Step 3: Cross multiply
    72,100.38x = 107,999.75 × 57,983.97
  4. Step 4: Simplify right side
    72,100.38x = 6,262,254,264.01
  5. Step 5: Solve for x
    x = 6,262,254,264.01/72,100.38
  6. Step 6: Final answer
    x = 86,854.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.