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Finding the Fourth Proportional to 109,602.72, 151,281 and 61,884

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Solution

The fourth proportional to 109,602.72, 151,281 and 61,884 is: 85,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,602.72 : 151,281 = 61,884 : x
  2. Step 2: Convert to fraction form
    109,602.72/151,281 = 61,884/x
  3. Step 3: Cross multiply
    109,602.72x = 151,281 × 61,884
  4. Step 4: Simplify right side
    109,602.72x = 9,361,873,404
  5. Step 5: Solve for x
    x = 9,361,873,404/109,602.72
  6. Step 6: Final answer
    x = 85,416.43

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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.