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Finding the Fourth Proportional to 135,389.91, 203,201.51 and 65,328.15

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Solution

The fourth proportional to 135,389.91, 203,201.51 and 65,328.15 is: 98,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,389.91 : 203,201.51 = 65,328.15 : x
  2. Step 2: Convert to fraction form
    135,389.91/203,201.51 = 65,328.15/x
  3. Step 3: Cross multiply
    135,389.91x = 203,201.51 × 65,328.15
  4. Step 4: Simplify right side
    135,389.91x = 13,274,778,398.87
  5. Step 5: Solve for x
    x = 13,274,778,398.87/135,389.91
  6. Step 6: Final answer
    x = 98,048.51

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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.