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Finding the Fourth Proportional to 268,138.48, 402,207.37 and 68,458.90

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Solution

The fourth proportional to 268,138.48, 402,207.37 and 68,458.90 is: 102,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,138.48 : 402,207.37 = 68,458.90 : x
  2. Step 2: Convert to fraction form
    268,138.48/402,207.37 = 68,458.90/x
  3. Step 3: Cross multiply
    268,138.48x = 402,207.37 × 68,458.90
  4. Step 4: Simplify right side
    268,138.48x = 27,534,673,779.80
  5. Step 5: Solve for x
    x = 27,534,673,779.80/268,138.48
  6. Step 6: Final answer
    x = 102,688.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.