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Finding the Fourth Proportional to 75,319.32, 112,862.28 and 47,559

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Solution

The fourth proportional to 75,319.32, 112,862.28 and 47,559 is: 71,264.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,319.32 : 112,862.28 = 47,559 : x
  2. Step 2: Convert to fraction form
    75,319.32/112,862.28 = 47,559/x
  3. Step 3: Cross multiply
    75,319.32x = 112,862.28 × 47,559
  4. Step 4: Simplify right side
    75,319.32x = 5,367,617,174.52
  5. Step 5: Solve for x
    x = 5,367,617,174.52/75,319.32
  6. Step 6: Final answer
    x = 71,264.81

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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.