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Finding the Fourth Proportional to 122,360.80, 168,888.94 and 83,614.31

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Solution

The fourth proportional to 122,360.80, 168,888.94 and 83,614.31 is: 115,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,360.80 : 168,888.94 = 83,614.31 : x
  2. Step 2: Convert to fraction form
    122,360.80/168,888.94 = 83,614.31/x
  3. Step 3: Cross multiply
    122,360.80x = 168,888.94 × 83,614.31
  4. Step 4: Simplify right side
    122,360.80x = 14,121,532,234.91
  5. Step 5: Solve for x
    x = 14,121,532,234.91/122,360.80
  6. Step 6: Final answer
    x = 115,408.96

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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.