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Finding the Fourth Proportional to 258,431.92, 387,655.16 and 71,443.42

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Solution

The fourth proportional to 258,431.92, 387,655.16 and 71,443.42 is: 107,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,431.92 : 387,655.16 = 71,443.42 : x
  2. Step 2: Convert to fraction form
    258,431.92/387,655.16 = 71,443.42/x
  3. Step 3: Cross multiply
    258,431.92x = 387,655.16 × 71,443.42
  4. Step 4: Simplify right side
    258,431.92x = 27,695,410,411.05
  5. Step 5: Solve for x
    x = 27,695,410,411.05/258,431.92
  6. Step 6: Final answer
    x = 107,167.14

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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.