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Finding the Fourth Proportional to 268,051.71, 369,917.80 and 145,549.30

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Solution

The fourth proportional to 268,051.71, 369,917.80 and 145,549.30 is: 200,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,051.71 : 369,917.80 = 145,549.30 : x
  2. Step 2: Convert to fraction form
    268,051.71/369,917.80 = 145,549.30/x
  3. Step 3: Cross multiply
    268,051.71x = 369,917.80 × 145,549.30
  4. Step 4: Simplify right side
    268,051.71x = 53,841,276,847.54
  5. Step 5: Solve for x
    x = 53,841,276,847.54/268,051.71
  6. Step 6: Final answer
    x = 200,861.53

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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.