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Finding the Fourth Proportional to 115,723.66, 173,659.20 and 77,341.80

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Solution

The fourth proportional to 115,723.66, 173,659.20 and 77,341.80 is: 116,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,723.66 : 173,659.20 = 77,341.80 : x
  2. Step 2: Convert to fraction form
    115,723.66/173,659.20 = 77,341.80/x
  3. Step 3: Cross multiply
    115,723.66x = 173,659.20 × 77,341.80
  4. Step 4: Simplify right side
    115,723.66x = 13,431,115,114.56
  5. Step 5: Solve for x
    x = 13,431,115,114.56/115,723.66
  6. Step 6: Final answer
    x = 116,061.96

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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.