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Finding the Fourth Proportional to 171,040.90, 256,388.55 and 77,613.70

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Solution

The fourth proportional to 171,040.90, 256,388.55 and 77,613.70 is: 116,342.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,040.90 : 256,388.55 = 77,613.70 : x
  2. Step 2: Convert to fraction form
    171,040.90/256,388.55 = 77,613.70/x
  3. Step 3: Cross multiply
    171,040.90x = 256,388.55 × 77,613.70
  4. Step 4: Simplify right side
    171,040.90x = 19,899,264,003.14
  5. Step 5: Solve for x
    x = 19,899,264,003.14/171,040.90
  6. Step 6: Final answer
    x = 116,342.14

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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.