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Finding the Fourth Proportional to 66,438.32, 99,657.84 and 19,691.60

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Solution

The fourth proportional to 66,438.32, 99,657.84 and 19,691.60 is: 29,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,438.32 : 99,657.84 = 19,691.60 : x
  2. Step 2: Convert to fraction form
    66,438.32/99,657.84 = 19,691.60/x
  3. Step 3: Cross multiply
    66,438.32x = 99,657.84 × 19,691.60
  4. Step 4: Simplify right side
    66,438.32x = 1,962,422,322.14
  5. Step 5: Solve for x
    x = 1,962,422,322.14/66,438.32
  6. Step 6: Final answer
    x = 29,537.51

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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.