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Finding the Fourth Proportional to 65,691.10, 90,653.81 and 37,396.75

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Solution

The fourth proportional to 65,691.10, 90,653.81 and 37,396.75 is: 51,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691.10 : 90,653.81 = 37,396.75 : x
  2. Step 2: Convert to fraction form
    65,691.10/90,653.81 = 37,396.75/x
  3. Step 3: Cross multiply
    65,691.10x = 90,653.81 × 37,396.75
  4. Step 4: Simplify right side
    65,691.10x = 3,390,157,682.13
  5. Step 5: Solve for x
    x = 3,390,157,682.13/65,691.10
  6. Step 6: Final answer
    x = 51,607.56

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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.