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Finding the Fourth Proportional to 77,136, 115,713.18 and 27,205.74

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Solution

The fourth proportional to 77,136, 115,713.18 and 27,205.74 is: 40,811.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,136 : 115,713.18 = 27,205.74 : x
  2. Step 2: Convert to fraction form
    77,136/115,713.18 = 27,205.74/x
  3. Step 3: Cross multiply
    77,136x = 115,713.18 × 27,205.74
  4. Step 4: Simplify right side
    77,136x = 3,148,062,689.65
  5. Step 5: Solve for x
    x = 3,148,062,689.65/77,136
  6. Step 6: Final answer
    x = 40,811.85

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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.