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Finding the Fourth Proportional to 199,689.92, 299,604 and 133,396.16

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Solution

The fourth proportional to 199,689.92, 299,604 and 133,396.16 is: 200,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,689.92 : 299,604 = 133,396.16 : x
  2. Step 2: Convert to fraction form
    199,689.92/299,604 = 133,396.16/x
  3. Step 3: Cross multiply
    199,689.92x = 299,604 × 133,396.16
  4. Step 4: Simplify right side
    199,689.92x = 39,966,023,120.64
  5. Step 5: Solve for x
    x = 39,966,023,120.64/199,689.92
  6. Step 6: Final answer
    x = 200,140.41

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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.