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Finding the Fourth Proportional to 171,207.36, 256,577.76 and 82,454.40

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Solution

The fourth proportional to 171,207.36, 256,577.76 and 82,454.40 is: 123,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,207.36 : 256,577.76 = 82,454.40 : x
  2. Step 2: Convert to fraction form
    171,207.36/256,577.76 = 82,454.40/x
  3. Step 3: Cross multiply
    171,207.36x = 256,577.76 × 82,454.40
  4. Step 4: Simplify right side
    171,207.36x = 21,155,965,254.14
  5. Step 5: Solve for x
    x = 21,155,965,254.14/171,207.36
  6. Step 6: Final answer
    x = 123,569.25

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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.