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Finding the Fourth Proportional to 209,892.82, 314,755.71 and 76,742.74

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Solution

The fourth proportional to 209,892.82, 314,755.71 and 76,742.74 is: 115,083.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.82 : 314,755.71 = 76,742.74 : x
  2. Step 2: Convert to fraction form
    209,892.82/314,755.71 = 76,742.74/x
  3. Step 3: Cross multiply
    209,892.82x = 314,755.71 × 76,742.74
  4. Step 4: Simplify right side
    209,892.82x = 24,155,215,616.05
  5. Step 5: Solve for x
    x = 24,155,215,616.05/209,892.82
  6. Step 6: Final answer
    x = 115,083.57

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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.