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Finding the Fourth Proportional to 108,530.64, 149,764.32 and 66,102.84

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Solution

The fourth proportional to 108,530.64, 149,764.32 and 66,102.84 is: 91,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,530.64 : 149,764.32 = 66,102.84 : x
  2. Step 2: Convert to fraction form
    108,530.64/149,764.32 = 66,102.84/x
  3. Step 3: Cross multiply
    108,530.64x = 149,764.32 × 66,102.84
  4. Step 4: Simplify right side
    108,530.64x = 9,899,846,882.67
  5. Step 5: Solve for x
    x = 9,899,846,882.67/108,530.64
  6. Step 6: Final answer
    x = 91,217.07

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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.