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Finding the Fourth Proportional to 252,038.64, 347,814.20 and 138,861.12

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Solution

The fourth proportional to 252,038.64, 347,814.20 and 138,861.12 is: 191,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,038.64 : 347,814.20 = 138,861.12 : x
  2. Step 2: Convert to fraction form
    252,038.64/347,814.20 = 138,861.12/x
  3. Step 3: Cross multiply
    252,038.64x = 347,814.20 × 138,861.12
  4. Step 4: Simplify right side
    252,038.64x = 48,297,869,363.90
  5. Step 5: Solve for x
    x = 48,297,869,363.90/252,038.64
  6. Step 6: Final answer
    x = 191,628.83

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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.