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Finding the Fourth Proportional to 200,083.20, 299,721.60 and 124,972.80

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Solution

The fourth proportional to 200,083.20, 299,721.60 and 124,972.80 is: 187,207.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,083.20 : 299,721.60 = 124,972.80 : x
  2. Step 2: Convert to fraction form
    200,083.20/299,721.60 = 124,972.80/x
  3. Step 3: Cross multiply
    200,083.20x = 299,721.60 × 124,972.80
  4. Step 4: Simplify right side
    200,083.20x = 37,457,047,572.48
  5. Step 5: Solve for x
    x = 37,457,047,572.48/200,083.20
  6. Step 6: Final answer
    x = 187,207.36

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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.