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Finding the Fourth Proportional to 87,681, 120,999.78 and 47,937

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Solution

The fourth proportional to 87,681, 120,999.78 and 47,937 is: 66,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,681 : 120,999.78 = 47,937 : x
  2. Step 2: Convert to fraction form
    87,681/120,999.78 = 47,937/x
  3. Step 3: Cross multiply
    87,681x = 120,999.78 × 47,937
  4. Step 4: Simplify right side
    87,681x = 5,800,366,453.86
  5. Step 5: Solve for x
    x = 5,800,366,453.86/87,681
  6. Step 6: Final answer
    x = 66,153.06

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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.