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Finding the Fourth Proportional to 77,266.68, 115,704 and 64,753.80

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Solution

The fourth proportional to 77,266.68, 115,704 and 64,753.80 is: 96,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,266.68 : 115,704 = 64,753.80 : x
  2. Step 2: Convert to fraction form
    77,266.68/115,704 = 64,753.80/x
  3. Step 3: Cross multiply
    77,266.68x = 115,704 × 64,753.80
  4. Step 4: Simplify right side
    77,266.68x = 7,492,273,675.20
  5. Step 5: Solve for x
    x = 7,492,273,675.20/77,266.68
  6. Step 6: Final answer
    x = 96,966.42

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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.