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Finding the Fourth Proportional to 122,180.69, 168,609.35 and 74,434

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Solution

The fourth proportional to 122,180.69, 168,609.35 and 74,434 is: 102,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,180.69 : 168,609.35 = 74,434 : x
  2. Step 2: Convert to fraction form
    122,180.69/168,609.35 = 74,434/x
  3. Step 3: Cross multiply
    122,180.69x = 168,609.35 × 74,434
  4. Step 4: Simplify right side
    122,180.69x = 12,550,268,357.90
  5. Step 5: Solve for x
    x = 12,550,268,357.90/122,180.69
  6. Step 6: Final answer
    x = 102,718.92

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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.