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Finding the Fourth Proportional to 199,578.86, 299,500.50 and 109,684.35

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Solution

The fourth proportional to 199,578.86, 299,500.50 and 109,684.35 is: 164,599.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,578.86 : 299,500.50 = 109,684.35 : x
  2. Step 2: Convert to fraction form
    199,578.86/299,500.50 = 109,684.35/x
  3. Step 3: Cross multiply
    199,578.86x = 299,500.50 × 109,684.35
  4. Step 4: Simplify right side
    199,578.86x = 32,850,516,169.67
  5. Step 5: Solve for x
    x = 32,850,516,169.67/199,578.86
  6. Step 6: Final answer
    x = 164,599.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.