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Finding the Fourth Proportional to 65,202.12, 89,978.70 and 35,394.12

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Solution

The fourth proportional to 65,202.12, 89,978.70 and 35,394.12 is: 48,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,202.12 : 89,978.70 = 35,394.12 : x
  2. Step 2: Convert to fraction form
    65,202.12/89,978.70 = 35,394.12/x
  3. Step 3: Cross multiply
    65,202.12x = 89,978.70 × 35,394.12
  4. Step 4: Simplify right side
    65,202.12x = 3,184,716,905.24
  5. Step 5: Solve for x
    x = 3,184,716,905.24/65,202.12
  6. Step 6: Final answer
    x = 48,843.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.