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Finding the Fourth Proportional to 252,115, 347,918.70 and 138,937.75

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Solution

The fourth proportional to 252,115, 347,918.70 and 138,937.75 is: 191,734.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,115 : 347,918.70 = 138,937.75 : x
  2. Step 2: Convert to fraction form
    252,115/347,918.70 = 138,937.75/x
  3. Step 3: Cross multiply
    252,115x = 347,918.70 × 138,937.75
  4. Step 4: Simplify right side
    252,115x = 48,339,041,360.93
  5. Step 5: Solve for x
    x = 48,339,041,360.93/252,115
  6. Step 6: Final answer
    x = 191,734.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.