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Finding the Fourth Proportional to 276,713.57, 415,029.03 and 77,013.14

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Solution

The fourth proportional to 276,713.57, 415,029.03 and 77,013.14 is: 115,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,713.57 : 415,029.03 = 77,013.14 : x
  2. Step 2: Convert to fraction form
    276,713.57/415,029.03 = 77,013.14/x
  3. Step 3: Cross multiply
    276,713.57x = 415,029.03 × 77,013.14
  4. Step 4: Simplify right side
    276,713.57x = 31,962,688,791.45
  5. Step 5: Solve for x
    x = 31,962,688,791.45/276,713.57
  6. Step 6: Final answer
    x = 115,508.21

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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.