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Finding the Fourth Proportional to 258,102.96, 387,209.77 and 108,256.87

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Solution

The fourth proportional to 258,102.96, 387,209.77 and 108,256.87 is: 162,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,102.96 : 387,209.77 = 108,256.87 : x
  2. Step 2: Convert to fraction form
    258,102.96/387,209.77 = 108,256.87/x
  3. Step 3: Cross multiply
    258,102.96x = 387,209.77 × 108,256.87
  4. Step 4: Simplify right side
    258,102.96x = 41,918,117,946.99
  5. Step 5: Solve for x
    x = 41,918,117,946.99/258,102.96
  6. Step 6: Final answer
    x = 162,408.52

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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.