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Finding the Fourth Proportional to 258,248.96, 387,362.88 and 71,255.68

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Solution

The fourth proportional to 258,248.96, 387,362.88 and 71,255.68 is: 106,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,248.96 : 387,362.88 = 71,255.68 : x
  2. Step 2: Convert to fraction form
    258,248.96/387,362.88 = 71,255.68/x
  3. Step 3: Cross multiply
    258,248.96x = 387,362.88 × 71,255.68
  4. Step 4: Simplify right side
    258,248.96x = 27,601,805,421.16
  5. Step 5: Solve for x
    x = 27,601,805,421.16/258,248.96
  6. Step 6: Final answer
    x = 106,880.61

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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.