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Finding the Fourth Proportional to 258,729.96, 387,954.08 and 90,204.98

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Solution

The fourth proportional to 258,729.96, 387,954.08 and 90,204.98 is: 135,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,729.96 : 387,954.08 = 90,204.98 : x
  2. Step 2: Convert to fraction form
    258,729.96/387,954.08 = 90,204.98/x
  3. Step 3: Cross multiply
    258,729.96x = 387,954.08 × 90,204.98
  4. Step 4: Simplify right side
    258,729.96x = 34,995,391,501.86
  5. Step 5: Solve for x
    x = 34,995,391,501.86/258,729.96
  6. Step 6: Final answer
    x = 135,258.36

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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.