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Finding the Fourth Proportional to 76,857.00, 115,276.84 and 20,701.22

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Solution

The fourth proportional to 76,857.00, 115,276.84 and 20,701.22 is: 31,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857.00 : 115,276.84 = 20,701.22 : x
  2. Step 2: Convert to fraction form
    76,857.00/115,276.84 = 20,701.22/x
  3. Step 3: Cross multiply
    76,857.00x = 115,276.84 × 20,701.22
  4. Step 4: Simplify right side
    76,857.00x = 2,386,371,277.50
  5. Step 5: Solve for x
    x = 2,386,371,277.50/76,857.00
  6. Step 6: Final answer
    x = 31,049.50

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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.