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Finding the Fourth Proportional to 169,580.12, 254,375.64 and 85,294.28

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Solution

The fourth proportional to 169,580.12, 254,375.64 and 85,294.28 is: 127,944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,580.12 : 254,375.64 = 85,294.28 : x
  2. Step 2: Convert to fraction form
    169,580.12/254,375.64 = 85,294.28/x
  3. Step 3: Cross multiply
    169,580.12x = 254,375.64 × 85,294.28
  4. Step 4: Simplify right side
    169,580.12x = 21,696,787,699.28
  5. Step 5: Solve for x
    x = 21,696,787,699.28/169,580.12
  6. Step 6: Final answer
    x = 127,944.17

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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.