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Finding the Fourth Proportional to 83,373.28, 114,977.40 and 77,180.82

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Solution

The fourth proportional to 83,373.28, 114,977.40 and 77,180.82 is: 106,437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,373.28 : 114,977.40 = 77,180.82 : x
  2. Step 2: Convert to fraction form
    83,373.28/114,977.40 = 77,180.82/x
  3. Step 3: Cross multiply
    83,373.28x = 114,977.40 × 77,180.82
  4. Step 4: Simplify right side
    83,373.28x = 8,874,049,292.87
  5. Step 5: Solve for x
    x = 8,874,049,292.87/83,373.28
  6. Step 6: Final answer
    x = 106,437.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.