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Finding the Fourth Proportional to 115,844.32, 159,828 and 64,849.56

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Solution

The fourth proportional to 115,844.32, 159,828 and 64,849.56 is: 89,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,844.32 : 159,828 = 64,849.56 : x
  2. Step 2: Convert to fraction form
    115,844.32/159,828 = 64,849.56/x
  3. Step 3: Cross multiply
    115,844.32x = 159,828 × 64,849.56
  4. Step 4: Simplify right side
    115,844.32x = 10,364,775,475.68
  5. Step 5: Solve for x
    x = 10,364,775,475.68/115,844.32
  6. Step 6: Final answer
    x = 89,471.59

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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.