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Finding the Fourth Proportional to 75,712.32, 113,568.48 and 47,952

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Solution

The fourth proportional to 75,712.32, 113,568.48 and 47,952 is: 71,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,712.32 : 113,568.48 = 47,952 : x
  2. Step 2: Convert to fraction form
    75,712.32/113,568.48 = 47,952/x
  3. Step 3: Cross multiply
    75,712.32x = 113,568.48 × 47,952
  4. Step 4: Simplify right side
    75,712.32x = 5,445,835,752.96
  5. Step 5: Solve for x
    x = 5,445,835,752.96/75,712.32
  6. Step 6: Final answer
    x = 71,928

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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.