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Finding the Fourth Proportional to 78,127.86, 107,786.70 and 57,758.85

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Solution

The fourth proportional to 78,127.86, 107,786.70 and 57,758.85 is: 79,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,127.86 : 107,786.70 = 57,758.85 : x
  2. Step 2: Convert to fraction form
    78,127.86/107,786.70 = 57,758.85/x
  3. Step 3: Cross multiply
    78,127.86x = 107,786.70 × 57,758.85
  4. Step 4: Simplify right side
    78,127.86x = 6,225,635,837.30
  5. Step 5: Solve for x
    x = 6,225,635,837.30/78,127.86
  6. Step 6: Final answer
    x = 79,685.22

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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.