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Finding the Fourth Proportional to 86,234.32, 129,351.53 and 38,794

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Solution

The fourth proportional to 86,234.32, 129,351.53 and 38,794 is: 58,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,234.32 : 129,351.53 = 38,794 : x
  2. Step 2: Convert to fraction form
    86,234.32/129,351.53 = 38,794/x
  3. Step 3: Cross multiply
    86,234.32x = 129,351.53 × 38,794
  4. Step 4: Simplify right side
    86,234.32x = 5,018,063,254.82
  5. Step 5: Solve for x
    x = 5,018,063,254.82/86,234.32
  6. Step 6: Final answer
    x = 58,191.02

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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.