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Finding the Fourth Proportional to 209,794.72, 314,723.04 and 76,643.86

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Solution

The fourth proportional to 209,794.72, 314,723.04 and 76,643.86 is: 114,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,794.72 : 314,723.04 = 76,643.86 : x
  2. Step 2: Convert to fraction form
    209,794.72/314,723.04 = 76,643.86/x
  3. Step 3: Cross multiply
    209,794.72x = 314,723.04 × 76,643.86
  4. Step 4: Simplify right side
    209,794.72x = 24,121,588,616.53
  5. Step 5: Solve for x
    x = 24,121,588,616.53/209,794.72
  6. Step 6: Final answer
    x = 114,977.10

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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.