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Finding the Fourth Proportional to 75,479.31, 113,212 and 25,553.70

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Solution

The fourth proportional to 75,479.31, 113,212 and 25,553.70 is: 38,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,479.31 : 113,212 = 25,553.70 : x
  2. Step 2: Convert to fraction form
    75,479.31/113,212 = 25,553.70/x
  3. Step 3: Cross multiply
    75,479.31x = 113,212 × 25,553.70
  4. Step 4: Simplify right side
    75,479.31x = 2,892,985,484.40
  5. Step 5: Solve for x
    x = 2,892,985,484.40/75,479.31
  6. Step 6: Final answer
    x = 38,328.19

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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.