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Finding the Fourth Proportional to 80,706.78, 121,079.58 and 25,302.78

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Solution

The fourth proportional to 80,706.78, 121,079.58 and 25,302.78 is: 37,960.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,706.78 : 121,079.58 = 25,302.78 : x
  2. Step 2: Convert to fraction form
    80,706.78/121,079.58 = 25,302.78/x
  3. Step 3: Cross multiply
    80,706.78x = 121,079.58 × 25,302.78
  4. Step 4: Simplify right side
    80,706.78x = 3,063,649,975.23
  5. Step 5: Solve for x
    x = 3,063,649,975.23/80,706.78
  6. Step 6: Final answer
    x = 37,960.26

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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.