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Finding the Fourth Proportional to 252,039.74, 347,814.88 and 138,861.50

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Solution

The fourth proportional to 252,039.74, 347,814.88 and 138,861.50 is: 191,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,039.74 : 347,814.88 = 138,861.50 : x
  2. Step 2: Convert to fraction form
    252,039.74/347,814.88 = 138,861.50/x
  3. Step 3: Cross multiply
    252,039.74x = 347,814.88 × 138,861.50
  4. Step 4: Simplify right side
    252,039.74x = 48,298,095,959.12
  5. Step 5: Solve for x
    x = 48,298,095,959.12/252,039.74
  6. Step 6: Final answer
    x = 191,628.89

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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.