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Finding the Fourth Proportional to 135,977.64, 203,670.70 and 65,709

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Solution

The fourth proportional to 135,977.64, 203,670.70 and 65,709 is: 98,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,977.64 : 203,670.70 = 65,709 : x
  2. Step 2: Convert to fraction form
    135,977.64/203,670.70 = 65,709/x
  3. Step 3: Cross multiply
    135,977.64x = 203,670.70 × 65,709
  4. Step 4: Simplify right side
    135,977.64x = 13,382,998,026.30
  5. Step 5: Solve for x
    x = 13,382,998,026.30/135,977.64
  6. Step 6: Final answer
    x = 98,420.58

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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.