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Finding the Fourth Proportional to 258,100.76, 387,206.49 and 108,254.68

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Solution

The fourth proportional to 258,100.76, 387,206.49 and 108,254.68 is: 162,405.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,100.76 : 387,206.49 = 108,254.68 : x
  2. Step 2: Convert to fraction form
    258,100.76/387,206.49 = 108,254.68/x
  3. Step 3: Cross multiply
    258,100.76x = 387,206.49 × 108,254.68
  4. Step 4: Simplify right side
    258,100.76x = 41,916,915,675.92
  5. Step 5: Solve for x
    x = 41,916,915,675.92/258,100.76
  6. Step 6: Final answer
    x = 162,405.24

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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.