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Finding the Fourth Proportional to 258,732.48, 388,244.16 and 100,971.84

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Solution

The fourth proportional to 258,732.48, 388,244.16 and 100,971.84 is: 151,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,732.48 : 388,244.16 = 100,971.84 : x
  2. Step 2: Convert to fraction form
    258,732.48/388,244.16 = 100,971.84/x
  3. Step 3: Cross multiply
    258,732.48x = 388,244.16 × 100,971.84
  4. Step 4: Simplify right side
    258,732.48x = 39,201,727,204.45
  5. Step 5: Solve for x
    x = 39,201,727,204.45/258,732.48
  6. Step 6: Final answer
    x = 151,514.52

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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.