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Finding the Fourth Proportional to 107,903.75, 148,945.10 and 71,112.87

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Solution

The fourth proportional to 107,903.75, 148,945.10 and 71,112.87 is: 98,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,903.75 : 148,945.10 = 71,112.87 : x
  2. Step 2: Convert to fraction form
    107,903.75/148,945.10 = 71,112.87/x
  3. Step 3: Cross multiply
    107,903.75x = 148,945.10 × 71,112.87
  4. Step 4: Simplify right side
    107,903.75x = 10,591,913,177.87
  5. Step 5: Solve for x
    x = 10,591,913,177.87/107,903.75
  6. Step 6: Final answer
    x = 98,160.76

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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.