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Finding the Fourth Proportional to 87,527, 120,787.26 and 47,783

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Solution

The fourth proportional to 87,527, 120,787.26 and 47,783 is: 65,940.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,527 : 120,787.26 = 47,783 : x
  2. Step 2: Convert to fraction form
    87,527/120,787.26 = 47,783/x
  3. Step 3: Cross multiply
    87,527x = 120,787.26 × 47,783
  4. Step 4: Simplify right side
    87,527x = 5,771,577,644.58
  5. Step 5: Solve for x
    x = 5,771,577,644.58/87,527
  6. Step 6: Final answer
    x = 65,940.54

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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.