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Finding the Fourth Proportional to 145,744.75, 201,128.17 and 84,502.82

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Solution

The fourth proportional to 145,744.75, 201,128.17 and 84,502.82 is: 116,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,744.75 : 201,128.17 = 84,502.82 : x
  2. Step 2: Convert to fraction form
    145,744.75/201,128.17 = 84,502.82/x
  3. Step 3: Cross multiply
    145,744.75x = 201,128.17 × 84,502.82
  4. Step 4: Simplify right side
    145,744.75x = 16,995,897,546.44
  5. Step 5: Solve for x
    x = 16,995,897,546.44/145,744.75
  6. Step 6: Final answer
    x = 116,614.13

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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.