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Finding the Fourth Proportional to 122,034.78, 168,403.06 and 71,048.96

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Solution

The fourth proportional to 122,034.78, 168,403.06 and 71,048.96 is: 98,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,034.78 : 168,403.06 = 71,048.96 : x
  2. Step 2: Convert to fraction form
    122,034.78/168,403.06 = 71,048.96/x
  3. Step 3: Cross multiply
    122,034.78x = 168,403.06 × 71,048.96
  4. Step 4: Simplify right side
    122,034.78x = 11,964,862,273.82
  5. Step 5: Solve for x
    x = 11,964,862,273.82/122,034.78
  6. Step 6: Final answer
    x = 98,044.69

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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.