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Finding the Fourth Proportional to 115,757.51, 159,698.08 and 75,456.56

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Solution

The fourth proportional to 115,757.51, 159,698.08 and 75,456.56 is: 104,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,757.51 : 159,698.08 = 75,456.56 : x
  2. Step 2: Convert to fraction form
    115,757.51/159,698.08 = 75,456.56/x
  3. Step 3: Cross multiply
    115,757.51x = 159,698.08 × 75,456.56
  4. Step 4: Simplify right side
    115,757.51x = 12,050,268,248.97
  5. Step 5: Solve for x
    x = 12,050,268,248.97/115,757.51
  6. Step 6: Final answer
    x = 104,099.24

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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.