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Finding the Fourth Proportional to 252,005.56, 347,767.50 and 138,828.30

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Solution

The fourth proportional to 252,005.56, 347,767.50 and 138,828.30 is: 191,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,005.56 : 347,767.50 = 138,828.30 : x
  2. Step 2: Convert to fraction form
    252,005.56/347,767.50 = 138,828.30/x
  3. Step 3: Cross multiply
    252,005.56x = 347,767.50 × 138,828.30
  4. Step 4: Simplify right side
    252,005.56x = 48,279,970,820.25
  5. Step 5: Solve for x
    x = 48,279,970,820.25/252,005.56
  6. Step 6: Final answer
    x = 191,582.96

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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.