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Finding the Fourth Proportional to 135,908.10, 203,894.55 and 65,729.70

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Solution

The fourth proportional to 135,908.10, 203,894.55 and 65,729.70 is: 98,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,908.10 : 203,894.55 = 65,729.70 : x
  2. Step 2: Convert to fraction form
    135,908.10/203,894.55 = 65,729.70/x
  3. Step 3: Cross multiply
    135,908.10x = 203,894.55 × 65,729.70
  4. Step 4: Simplify right side
    135,908.10x = 13,401,927,603.14
  5. Step 5: Solve for x
    x = 13,401,927,603.14/135,908.10
  6. Step 6: Final answer
    x = 98,610.22

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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.