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Finding the Fourth Proportional to 258,165.30, 387,400.23 and 108,431.94

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Solution

The fourth proportional to 258,165.30, 387,400.23 and 108,431.94 is: 162,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,165.30 : 387,400.23 = 108,431.94 : x
  2. Step 2: Convert to fraction form
    258,165.30/387,400.23 = 108,431.94/x
  3. Step 3: Cross multiply
    258,165.30x = 387,400.23 × 108,431.94
  4. Step 4: Simplify right side
    258,165.30x = 42,006,558,495.35
  5. Step 5: Solve for x
    x = 42,006,558,495.35/258,165.30
  6. Step 6: Final answer
    x = 162,711.87

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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.