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Finding the Fourth Proportional to 135,972.64, 203,663.20 and 65,704

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Solution

The fourth proportional to 135,972.64, 203,663.20 and 65,704 is: 98,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,972.64 : 203,663.20 = 65,704 : x
  2. Step 2: Convert to fraction form
    135,972.64/203,663.20 = 65,704/x
  3. Step 3: Cross multiply
    135,972.64x = 203,663.20 × 65,704
  4. Step 4: Simplify right side
    135,972.64x = 13,381,486,892.80
  5. Step 5: Solve for x
    x = 13,381,486,892.80/135,972.64
  6. Step 6: Final answer
    x = 98,413.08

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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.