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Finding the Fourth Proportional to 87,714, 121,048.20 and 47,970

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Solution

The fourth proportional to 87,714, 121,048.20 and 47,970 is: 66,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,714 : 121,048.20 = 47,970 : x
  2. Step 2: Convert to fraction form
    87,714/121,048.20 = 47,970/x
  3. Step 3: Cross multiply
    87,714x = 121,048.20 × 47,970
  4. Step 4: Simplify right side
    87,714x = 5,806,682,154
  5. Step 5: Solve for x
    x = 5,806,682,154/87,714
  6. Step 6: Final answer
    x = 66,200.18

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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.