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Finding the Fourth Proportional to 252,110, 347,911.80 and 138,943.28

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Solution

The fourth proportional to 252,110, 347,911.80 and 138,943.28 is: 191,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,110 : 347,911.80 = 138,943.28 : x
  2. Step 2: Convert to fraction form
    252,110/347,911.80 = 138,943.28/x
  3. Step 3: Cross multiply
    252,110x = 347,911.80 × 138,943.28
  4. Step 4: Simplify right side
    252,110x = 48,340,006,642.70
  5. Step 5: Solve for x
    x = 48,340,006,642.70/252,110
  6. Step 6: Final answer
    x = 191,741.73

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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.