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Finding the Fourth Proportional to 132,147.42, 182,364.78 and 71,718.59

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Solution

The fourth proportional to 132,147.42, 182,364.78 and 71,718.59 is: 98,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,147.42 : 182,364.78 = 71,718.59 : x
  2. Step 2: Convert to fraction form
    132,147.42/182,364.78 = 71,718.59/x
  3. Step 3: Cross multiply
    132,147.42x = 182,364.78 × 71,718.59
  4. Step 4: Simplify right side
    132,147.42x = 13,078,944,887.26
  5. Step 5: Solve for x
    x = 13,078,944,887.26/132,147.42
  6. Step 6: Final answer
    x = 98,972.38

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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.