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Finding the Fourth Proportional to 258,640.71, 387,971.24 and 90,178.22

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Solution

The fourth proportional to 258,640.71, 387,971.24 and 90,178.22 is: 135,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,640.71 : 387,971.24 = 90,178.22 : x
  2. Step 2: Convert to fraction form
    258,640.71/387,971.24 = 90,178.22/x
  3. Step 3: Cross multiply
    258,640.71x = 387,971.24 × 90,178.22
  4. Step 4: Simplify right side
    258,640.71x = 34,986,553,443.65
  5. Step 5: Solve for x
    x = 34,986,553,443.65/258,640.71
  6. Step 6: Final answer
    x = 135,270.87

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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.