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Finding the Fourth Proportional to 252,038.24, 347,812.80 and 138,860

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Solution

The fourth proportional to 252,038.24, 347,812.80 and 138,860 is: 191,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,038.24 : 347,812.80 = 138,860 : x
  2. Step 2: Convert to fraction form
    252,038.24/347,812.80 = 138,860/x
  3. Step 3: Cross multiply
    252,038.24x = 347,812.80 × 138,860
  4. Step 4: Simplify right side
    252,038.24x = 48,297,285,408
  5. Step 5: Solve for x
    x = 48,297,285,408/252,038.24
  6. Step 6: Final answer
    x = 191,626.82

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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.