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Finding the Fourth Proportional to 66,205.32, 99,308.02 and 19,491

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Solution

The fourth proportional to 66,205.32, 99,308.02 and 19,491 is: 29,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205.32 : 99,308.02 = 19,491 : x
  2. Step 2: Convert to fraction form
    66,205.32/99,308.02 = 19,491/x
  3. Step 3: Cross multiply
    66,205.32x = 99,308.02 × 19,491
  4. Step 4: Simplify right side
    66,205.32x = 1,935,612,617.82
  5. Step 5: Solve for x
    x = 1,935,612,617.82/66,205.32
  6. Step 6: Final answer
    x = 29,236.51

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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.