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Finding the Fourth Proportional to 165,254.48, 247,837.44 and 71,738

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Solution

The fourth proportional to 165,254.48, 247,837.44 and 71,738 is: 107,587.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,254.48 : 247,837.44 = 71,738 : x
  2. Step 2: Convert to fraction form
    165,254.48/247,837.44 = 71,738/x
  3. Step 3: Cross multiply
    165,254.48x = 247,837.44 × 71,738
  4. Step 4: Simplify right side
    165,254.48x = 17,779,362,270.72
  5. Step 5: Solve for x
    x = 17,779,362,270.72/165,254.48
  6. Step 6: Final answer
    x = 107,587.78

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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.