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Finding the Fourth Proportional to 122,268.24, 168,724.08 and 71,964

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Solution

The fourth proportional to 122,268.24, 168,724.08 and 71,964 is: 99,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,268.24 : 168,724.08 = 71,964 : x
  2. Step 2: Convert to fraction form
    122,268.24/168,724.08 = 71,964/x
  3. Step 3: Cross multiply
    122,268.24x = 168,724.08 × 71,964
  4. Step 4: Simplify right side
    122,268.24x = 12,142,059,693.12
  5. Step 5: Solve for x
    x = 12,142,059,693.12/122,268.24
  6. Step 6: Final answer
    x = 99,306.73

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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.