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Finding the Fourth Proportional to 199,643.70, 299,465.55 and 99,819.30

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Solution

The fourth proportional to 199,643.70, 299,465.55 and 99,819.30 is: 149,728.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,643.70 : 299,465.55 = 99,819.30 : x
  2. Step 2: Convert to fraction form
    199,643.70/299,465.55 = 99,819.30/x
  3. Step 3: Cross multiply
    199,643.70x = 299,465.55 × 99,819.30
  4. Step 4: Simplify right side
    199,643.70x = 29,892,441,575.12
  5. Step 5: Solve for x
    x = 29,892,441,575.12/199,643.70
  6. Step 6: Final answer
    x = 149,728.95

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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.