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Finding the Fourth Proportional to 75,274.56, 112,911.84 and 25,992

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Solution

The fourth proportional to 75,274.56, 112,911.84 and 25,992 is: 38,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,274.56 : 112,911.84 = 25,992 : x
  2. Step 2: Convert to fraction form
    75,274.56/112,911.84 = 25,992/x
  3. Step 3: Cross multiply
    75,274.56x = 112,911.84 × 25,992
  4. Step 4: Simplify right side
    75,274.56x = 2,934,804,545.28
  5. Step 5: Solve for x
    x = 2,934,804,545.28/75,274.56
  6. Step 6: Final answer
    x = 38,988

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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.