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Finding the Fourth Proportional to 252,222.88, 378,373.20 and 85,972

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Solution

The fourth proportional to 252,222.88, 378,373.20 and 85,972 is: 128,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,222.88 : 378,373.20 = 85,972 : x
  2. Step 2: Convert to fraction form
    252,222.88/378,373.20 = 85,972/x
  3. Step 3: Cross multiply
    252,222.88x = 378,373.20 × 85,972
  4. Step 4: Simplify right side
    252,222.88x = 32,529,500,750.40
  5. Step 5: Solve for x
    x = 32,529,500,750.40/252,222.88
  6. Step 6: Final answer
    x = 128,971.25

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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.