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Finding the Fourth Proportional to 123,508.92, 170,445.48 and 75,788.64

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Solution

The fourth proportional to 123,508.92, 170,445.48 and 75,788.64 is: 104,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,508.92 : 170,445.48 = 75,788.64 : x
  2. Step 2: Convert to fraction form
    123,508.92/170,445.48 = 75,788.64/x
  3. Step 3: Cross multiply
    123,508.92x = 170,445.48 × 75,788.64
  4. Step 4: Simplify right side
    123,508.92x = 12,917,831,123.35
  5. Step 5: Solve for x
    x = 12,917,831,123.35/123,508.92
  6. Step 6: Final answer
    x = 104,590.27

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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.