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Finding the Fourth Proportional to 47,787.80, 71,681.70 and 36,123.80

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Solution

The fourth proportional to 47,787.80, 71,681.70 and 36,123.80 is: 54,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,787.80 : 71,681.70 = 36,123.80 : x
  2. Step 2: Convert to fraction form
    47,787.80/71,681.70 = 36,123.80/x
  3. Step 3: Cross multiply
    47,787.80x = 71,681.70 × 36,123.80
  4. Step 4: Simplify right side
    47,787.80x = 2,589,415,394.46
  5. Step 5: Solve for x
    x = 2,589,415,394.46/47,787.80
  6. Step 6: Final answer
    x = 54,185.70

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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.