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Finding the Fourth Proportional to 199,909.75, 299,864.67 and 52,165.75

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Solution

The fourth proportional to 199,909.75, 299,864.67 and 52,165.75 is: 78,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,909.75 : 299,864.67 = 52,165.75 : x
  2. Step 2: Convert to fraction form
    199,909.75/299,864.67 = 52,165.75/x
  3. Step 3: Cross multiply
    199,909.75x = 299,864.67 × 52,165.75
  4. Step 4: Simplify right side
    199,909.75x = 15,642,665,409.05
  5. Step 5: Solve for x
    x = 15,642,665,409.05/199,909.75
  6. Step 6: Final answer
    x = 78,248.64

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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.