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Finding the Fourth Proportional to 75,325.32, 112,871.28 and 47,565

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Solution

The fourth proportional to 75,325.32, 112,871.28 and 47,565 is: 71,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,325.32 : 112,871.28 = 47,565 : x
  2. Step 2: Convert to fraction form
    75,325.32/112,871.28 = 47,565/x
  3. Step 3: Cross multiply
    75,325.32x = 112,871.28 × 47,565
  4. Step 4: Simplify right side
    75,325.32x = 5,368,722,433.20
  5. Step 5: Solve for x
    x = 5,368,722,433.20/75,325.32
  6. Step 6: Final answer
    x = 71,273.81

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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.