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Finding the Fourth Proportional to 171,902.49, 257,855.04 and 65,257.71

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Solution

The fourth proportional to 171,902.49, 257,855.04 and 65,257.71 is: 97,887.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,902.49 : 257,855.04 = 65,257.71 : x
  2. Step 2: Convert to fraction form
    171,902.49/257,855.04 = 65,257.71/x
  3. Step 3: Cross multiply
    171,902.49x = 257,855.04 × 65,257.71
  4. Step 4: Simplify right side
    171,902.49x = 16,827,029,422.36
  5. Step 5: Solve for x
    x = 16,827,029,422.36/171,902.49
  6. Step 6: Final answer
    x = 97,887.06

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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.