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Finding the Fourth Proportional to 51,882.36, 77,855.04 and 20,715

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Solution

The fourth proportional to 51,882.36, 77,855.04 and 20,715 is: 31,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,882.36 : 77,855.04 = 20,715 : x
  2. Step 2: Convert to fraction form
    51,882.36/77,855.04 = 20,715/x
  3. Step 3: Cross multiply
    51,882.36x = 77,855.04 × 20,715
  4. Step 4: Simplify right side
    51,882.36x = 1,612,767,153.60
  5. Step 5: Solve for x
    x = 1,612,767,153.60/51,882.36
  6. Step 6: Final answer
    x = 31,085.08

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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.