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Finding the Fourth Proportional to 209,341.90, 288,893.94 and 113,850.70

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Solution

The fourth proportional to 209,341.90, 288,893.94 and 113,850.70 is: 157,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,341.90 : 288,893.94 = 113,850.70 : x
  2. Step 2: Convert to fraction form
    209,341.90/288,893.94 = 113,850.70/x
  3. Step 3: Cross multiply
    209,341.90x = 288,893.94 × 113,850.70
  4. Step 4: Simplify right side
    209,341.90x = 32,890,777,294.76
  5. Step 5: Solve for x
    x = 32,890,777,294.76/209,341.90
  6. Step 6: Final answer
    x = 157,115.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.