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Finding the Fourth Proportional to 258,164.61, 387,398.61 and 108,393.38

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Solution

The fourth proportional to 258,164.61, 387,398.61 and 108,393.38 is: 162,653.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,164.61 : 387,398.61 = 108,393.38 : x
  2. Step 2: Convert to fraction form
    258,164.61/387,398.61 = 108,393.38/x
  3. Step 3: Cross multiply
    258,164.61x = 387,398.61 × 108,393.38
  4. Step 4: Simplify right side
    258,164.61x = 41,991,442,266.24
  5. Step 5: Solve for x
    x = 41,991,442,266.24/258,164.61
  6. Step 6: Final answer
    x = 162,653.75

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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.