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Finding the Fourth Proportional to 258,364.08, 387,419.76 and 106,532.82

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Solution

The fourth proportional to 258,364.08, 387,419.76 and 106,532.82 is: 159,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,364.08 : 387,419.76 = 106,532.82 : x
  2. Step 2: Convert to fraction form
    258,364.08/387,419.76 = 106,532.82/x
  3. Step 3: Cross multiply
    258,364.08x = 387,419.76 × 106,532.82
  4. Step 4: Simplify right side
    258,364.08x = 41,272,919,556.52
  5. Step 5: Solve for x
    x = 41,272,919,556.52/258,364.08
  6. Step 6: Final answer
    x = 159,747.13

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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.