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Finding the Fourth Proportional to 145,639.31, 200,924.49 and 89,083.49

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Solution

The fourth proportional to 145,639.31, 200,924.49 and 89,083.49 is: 122,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,639.31 : 200,924.49 = 89,083.49 : x
  2. Step 2: Convert to fraction form
    145,639.31/200,924.49 = 89,083.49/x
  3. Step 3: Cross multiply
    145,639.31x = 200,924.49 × 89,083.49
  4. Step 4: Simplify right side
    145,639.31x = 17,899,053,791.05
  5. Step 5: Solve for x
    x = 17,899,053,791.05/145,639.31
  6. Step 6: Final answer
    x = 122,899.88

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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.