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Finding the Fourth Proportional to 76,715.40, 115,072.02 and 21,311.40

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Solution

The fourth proportional to 76,715.40, 115,072.02 and 21,311.40 is: 31,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,715.40 : 115,072.02 = 21,311.40 : x
  2. Step 2: Convert to fraction form
    76,715.40/115,072.02 = 21,311.40/x
  3. Step 3: Cross multiply
    76,715.40x = 115,072.02 × 21,311.40
  4. Step 4: Simplify right side
    76,715.40x = 2,452,345,847.03
  5. Step 5: Solve for x
    x = 2,452,345,847.03/76,715.40
  6. Step 6: Final answer
    x = 31,966.80

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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.