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Finding the Fourth Proportional to 115,480.68, 159,255.18 and 76,649.82

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Solution

The fourth proportional to 115,480.68, 159,255.18 and 76,649.82 is: 105,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,480.68 : 159,255.18 = 76,649.82 : x
  2. Step 2: Convert to fraction form
    115,480.68/159,255.18 = 76,649.82/x
  3. Step 3: Cross multiply
    115,480.68x = 159,255.18 × 76,649.82
  4. Step 4: Simplify right side
    115,480.68x = 12,206,880,881.07
  5. Step 5: Solve for x
    x = 12,206,880,881.07/115,480.68
  6. Step 6: Final answer
    x = 105,704.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.