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Finding the Fourth Proportional to 171,196.66, 256,655.80 and 71,431.17

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Solution

The fourth proportional to 171,196.66, 256,655.80 and 71,431.17 is: 107,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,196.66 : 256,655.80 = 71,431.17 : x
  2. Step 2: Convert to fraction form
    171,196.66/256,655.80 = 71,431.17/x
  3. Step 3: Cross multiply
    171,196.66x = 256,655.80 × 71,431.17
  4. Step 4: Simplify right side
    171,196.66x = 18,333,224,081.29
  5. Step 5: Solve for x
    x = 18,333,224,081.29/171,196.66
  6. Step 6: Final answer
    x = 107,088.68

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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.