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Finding the Fourth Proportional to 199,909.10, 299,863.65 and 52,165.10

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Solution

The fourth proportional to 199,909.10, 299,863.65 and 52,165.10 is: 78,247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,909.10 : 299,863.65 = 52,165.10 : x
  2. Step 2: Convert to fraction form
    199,909.10/299,863.65 = 52,165.10/x
  3. Step 3: Cross multiply
    199,909.10x = 299,863.65 × 52,165.10
  4. Step 4: Simplify right side
    199,909.10x = 15,642,417,288.62
  5. Step 5: Solve for x
    x = 15,642,417,288.62/199,909.10
  6. Step 6: Final answer
    x = 78,247.65

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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.