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Finding the Fourth Proportional to 87,853.78, 121,238.03 and 47,567.58

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Solution

The fourth proportional to 87,853.78, 121,238.03 and 47,567.58 is: 65,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,853.78 : 121,238.03 = 47,567.58 : x
  2. Step 2: Convert to fraction form
    87,853.78/121,238.03 = 47,567.58/x
  3. Step 3: Cross multiply
    87,853.78x = 121,238.03 × 47,567.58
  4. Step 4: Simplify right side
    87,853.78x = 5,766,999,691.07
  5. Step 5: Solve for x
    x = 5,766,999,691.07/87,853.78
  6. Step 6: Final answer
    x = 65,643.16

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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.