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Finding the Fourth Proportional to 136,778.88, 205,176.96 and 57,882.72

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Solution

The fourth proportional to 136,778.88, 205,176.96 and 57,882.72 is: 86,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,778.88 : 205,176.96 = 57,882.72 : x
  2. Step 2: Convert to fraction form
    136,778.88/205,176.96 = 57,882.72/x
  3. Step 3: Cross multiply
    136,778.88x = 205,176.96 × 57,882.72
  4. Step 4: Simplify right side
    136,778.88x = 11,876,200,526.13
  5. Step 5: Solve for x
    x = 11,876,200,526.13/136,778.88
  6. Step 6: Final answer
    x = 86,827.74

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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.