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Finding the Fourth Proportional to 268,842.55, 370,999.90 and 147,981.24

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Solution

The fourth proportional to 268,842.55, 370,999.90 and 147,981.24 is: 204,212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,842.55 : 370,999.90 = 147,981.24 : x
  2. Step 2: Convert to fraction form
    268,842.55/370,999.90 = 147,981.24/x
  3. Step 3: Cross multiply
    268,842.55x = 370,999.90 × 147,981.24
  4. Step 4: Simplify right side
    268,842.55x = 54,901,025,241.88
  5. Step 5: Solve for x
    x = 54,901,025,241.88/268,842.55
  6. Step 6: Final answer
    x = 204,212.56

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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.