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Finding the Fourth Proportional to 199,584.30, 299,376.45 and 66,468.90

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Solution

The fourth proportional to 199,584.30, 299,376.45 and 66,468.90 is: 99,703.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,584.30 : 299,376.45 = 66,468.90 : x
  2. Step 2: Convert to fraction form
    199,584.30/299,376.45 = 66,468.90/x
  3. Step 3: Cross multiply
    199,584.30x = 299,376.45 × 66,468.90
  4. Step 4: Simplify right side
    199,584.30x = 19,899,223,317.41
  5. Step 5: Solve for x
    x = 19,899,223,317.41/199,584.30
  6. Step 6: Final answer
    x = 99,703.35

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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.