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Finding the Fourth Proportional to 251,861.94, 347,491.40 and 142,948.50

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Solution

The fourth proportional to 251,861.94, 347,491.40 and 142,948.50 is: 197,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,861.94 : 347,491.40 = 142,948.50 : x
  2. Step 2: Convert to fraction form
    251,861.94/347,491.40 = 142,948.50/x
  3. Step 3: Cross multiply
    251,861.94x = 347,491.40 × 142,948.50
  4. Step 4: Simplify right side
    251,861.94x = 49,673,374,392.90
  5. Step 5: Solve for x
    x = 49,673,374,392.90/251,861.94
  6. Step 6: Final answer
    x = 197,224.62

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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.