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Finding the Fourth Proportional to 136,915.76, 205,402.44 and 77,778.80

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Solution

The fourth proportional to 136,915.76, 205,402.44 and 77,778.80 is: 116,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,915.76 : 205,402.44 = 77,778.80 : x
  2. Step 2: Convert to fraction form
    136,915.76/205,402.44 = 77,778.80/x
  3. Step 3: Cross multiply
    136,915.76x = 205,402.44 × 77,778.80
  4. Step 4: Simplify right side
    136,915.76x = 15,975,955,300.27
  5. Step 5: Solve for x
    x = 15,975,955,300.27/136,915.76
  6. Step 6: Final answer
    x = 116,684.56

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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.