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Finding the Fourth Proportional to 135,975, 203,816.70 and 65,699.40

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Solution

The fourth proportional to 135,975, 203,816.70 and 65,699.40 is: 98,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,975 : 203,816.70 = 65,699.40 : x
  2. Step 2: Convert to fraction form
    135,975/203,816.70 = 65,699.40/x
  3. Step 3: Cross multiply
    135,975x = 203,816.70 × 65,699.40
  4. Step 4: Simplify right side
    135,975x = 13,390,634,899.98
  5. Step 5: Solve for x
    x = 13,390,634,899.98/135,975
  6. Step 6: Final answer
    x = 98,478.65

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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.