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Finding the Fourth Proportional to 115,700.68, 159,619.83 and 75,399.76

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Solution

The fourth proportional to 115,700.68, 159,619.83 and 75,399.76 is: 104,020.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,700.68 : 159,619.83 = 75,399.76 : x
  2. Step 2: Convert to fraction form
    115,700.68/159,619.83 = 75,399.76/x
  3. Step 3: Cross multiply
    115,700.68x = 159,619.83 × 75,399.76
  4. Step 4: Simplify right side
    115,700.68x = 12,035,295,886.64
  5. Step 5: Solve for x
    x = 12,035,295,886.64/115,700.68
  6. Step 6: Final answer
    x = 104,020.97

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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.