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Finding the Fourth Proportional to 66,209, 99,314.41 and 36,684.50

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Solution

The fourth proportional to 66,209, 99,314.41 and 36,684.50 is: 55,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,209 : 99,314.41 = 36,684.50 : x
  2. Step 2: Convert to fraction form
    66,209/99,314.41 = 36,684.50/x
  3. Step 3: Cross multiply
    66,209x = 99,314.41 × 36,684.50
  4. Step 4: Simplify right side
    66,209x = 3,643,299,473.65
  5. Step 5: Solve for x
    x = 3,643,299,473.65/66,209
  6. Step 6: Final answer
    x = 55,027.25

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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.