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Finding the Fourth Proportional to 171,855.40, 257,264.70 and 151,119.40

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Solution

The fourth proportional to 171,855.40, 257,264.70 and 151,119.40 is: 226,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,855.40 : 257,264.70 = 151,119.40 : x
  2. Step 2: Convert to fraction form
    171,855.40/257,264.70 = 151,119.40/x
  3. Step 3: Cross multiply
    171,855.40x = 257,264.70 × 151,119.40
  4. Step 4: Simplify right side
    171,855.40x = 38,877,687,105.18
  5. Step 5: Solve for x
    x = 38,877,687,105.18/171,855.40
  6. Step 6: Final answer
    x = 226,223.25

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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.