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Finding the Fourth Proportional to 122,854.92, 169,560.45 and 71,164.50

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Solution

The fourth proportional to 122,854.92, 169,560.45 and 71,164.50 is: 98,218.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,854.92 : 169,560.45 = 71,164.50 : x
  2. Step 2: Convert to fraction form
    122,854.92/169,560.45 = 71,164.50/x
  3. Step 3: Cross multiply
    122,854.92x = 169,560.45 × 71,164.50
  4. Step 4: Simplify right side
    122,854.92x = 12,066,684,644.03
  5. Step 5: Solve for x
    x = 12,066,684,644.03/122,854.92
  6. Step 6: Final answer
    x = 98,218.98

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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.