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Finding the Fourth Proportional to 115,896.42, 159,931.53 and 71,175.78

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Solution

The fourth proportional to 115,896.42, 159,931.53 and 71,175.78 is: 98,219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,896.42 : 159,931.53 = 71,175.78 : x
  2. Step 2: Convert to fraction form
    115,896.42/159,931.53 = 71,175.78/x
  3. Step 3: Cross multiply
    115,896.42x = 159,931.53 × 71,175.78
  4. Step 4: Simplify right side
    115,896.42x = 11,383,251,394.34
  5. Step 5: Solve for x
    x = 11,383,251,394.34/115,896.42
  6. Step 6: Final answer
    x = 98,219.18

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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.