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Finding the Fourth Proportional to 132,550, 182,919 and 72,934

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Solution

The fourth proportional to 132,550, 182,919 and 72,934 is: 100,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,550 : 182,919 = 72,934 : x
  2. Step 2: Convert to fraction form
    132,550/182,919 = 72,934/x
  3. Step 3: Cross multiply
    132,550x = 182,919 × 72,934
  4. Step 4: Simplify right side
    132,550x = 13,341,014,346
  5. Step 5: Solve for x
    x = 13,341,014,346/132,550
  6. Step 6: Final answer
    x = 100,648.92

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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.