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Finding the Fourth Proportional to 85,488.81, 128,236.65 and 32,175.42

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Solution

The fourth proportional to 85,488.81, 128,236.65 and 32,175.42 is: 48,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,488.81 : 128,236.65 = 32,175.42 : x
  2. Step 2: Convert to fraction form
    85,488.81/128,236.65 = 32,175.42/x
  3. Step 3: Cross multiply
    85,488.81x = 128,236.65 × 32,175.42
  4. Step 4: Simplify right side
    85,488.81x = 4,126,068,073.14
  5. Step 5: Solve for x
    x = 4,126,068,073.14/85,488.81
  6. Step 6: Final answer
    x = 48,264.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.