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Finding the Fourth Proportional to 107,319.29, 160,978.79 and 40,759.29

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Solution

The fourth proportional to 107,319.29, 160,978.79 and 40,759.29 is: 61,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,319.29 : 160,978.79 = 40,759.29 : x
  2. Step 2: Convert to fraction form
    107,319.29/160,978.79 = 40,759.29/x
  3. Step 3: Cross multiply
    107,319.29x = 160,978.79 × 40,759.29
  4. Step 4: Simplify right side
    107,319.29x = 6,561,381,287.36
  5. Step 5: Solve for x
    x = 6,561,381,287.36/107,319.29
  6. Step 6: Final answer
    x = 61,138.88

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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.