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Finding the Fourth Proportional to 169,782, 254,689.20 and 69,948.96

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Solution

The fourth proportional to 169,782, 254,689.20 and 69,948.96 is: 104,930.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,782 : 254,689.20 = 69,948.96 : x
  2. Step 2: Convert to fraction form
    169,782/254,689.20 = 69,948.96/x
  3. Step 3: Cross multiply
    169,782x = 254,689.20 × 69,948.96
  4. Step 4: Simplify right side
    169,782x = 17,815,244,663.23
  5. Step 5: Solve for x
    x = 17,815,244,663.23/169,782
  6. Step 6: Final answer
    x = 104,930.11

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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.