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Finding the Fourth Proportional to 200,881.28, 301,129.70 and 74,487.71

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Solution

The fourth proportional to 200,881.28, 301,129.70 and 74,487.71 is: 111,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,881.28 : 301,129.70 = 74,487.71 : x
  2. Step 2: Convert to fraction form
    200,881.28/301,129.70 = 74,487.71/x
  3. Step 3: Cross multiply
    200,881.28x = 301,129.70 × 74,487.71
  4. Step 4: Simplify right side
    200,881.28x = 22,430,462,146.37
  5. Step 5: Solve for x
    x = 22,430,462,146.37/200,881.28
  6. Step 6: Final answer
    x = 111,660.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.