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Finding the Fourth Proportional to 115,902.92, 159,940.48 and 71,182.28

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Solution

The fourth proportional to 115,902.92, 159,940.48 and 71,182.28 is: 98,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,902.92 : 159,940.48 = 71,182.28 : x
  2. Step 2: Convert to fraction form
    115,902.92/159,940.48 = 71,182.28/x
  3. Step 3: Cross multiply
    115,902.92x = 159,940.48 × 71,182.28
  4. Step 4: Simplify right side
    115,902.92x = 11,384,928,030.69
  5. Step 5: Solve for x
    x = 11,384,928,030.69/115,902.92
  6. Step 6: Final answer
    x = 98,228.14

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1.5x scale

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.