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Finding the Fourth Proportional to 122,386.10, 168,894.21 and 71,397.14

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Solution

The fourth proportional to 122,386.10, 168,894.21 and 71,397.14 is: 98,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,386.10 : 168,894.21 = 71,397.14 : x
  2. Step 2: Convert to fraction form
    122,386.10/168,894.21 = 71,397.14/x
  3. Step 3: Cross multiply
    122,386.10x = 168,894.21 × 71,397.14
  4. Step 4: Simplify right side
    122,386.10x = 12,058,563,556.56
  5. Step 5: Solve for x
    x = 12,058,563,556.56/122,386.10
  6. Step 6: Final answer
    x = 98,528.87

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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.