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Finding the Fourth Proportional to 77,476.50, 106,935.82 and 47,286.78

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Solution

The fourth proportional to 77,476.50, 106,935.82 and 47,286.78 is: 65,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,476.50 : 106,935.82 = 47,286.78 : x
  2. Step 2: Convert to fraction form
    77,476.50/106,935.82 = 47,286.78/x
  3. Step 3: Cross multiply
    77,476.50x = 106,935.82 × 47,286.78
  4. Step 4: Simplify right side
    77,476.50x = 5,056,650,594.46
  5. Step 5: Solve for x
    x = 5,056,650,594.46/77,476.50
  6. Step 6: Final answer
    x = 65,266.90

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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.