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Finding the Fourth Proportional to 78,589.12, 117,723.12 and 65,398.96

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Solution

The fourth proportional to 78,589.12, 117,723.12 and 65,398.96 is: 97,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,589.12 : 117,723.12 = 65,398.96 : x
  2. Step 2: Convert to fraction form
    78,589.12/117,723.12 = 65,398.96/x
  3. Step 3: Cross multiply
    78,589.12x = 117,723.12 × 65,398.96
  4. Step 4: Simplify right side
    78,589.12x = 7,698,969,615.96
  5. Step 5: Solve for x
    x = 7,698,969,615.96/78,589.12
  6. Step 6: Final answer
    x = 97,964.83

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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.