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Finding the Fourth Proportional to 209,112.74, 313,492.76 and 90,694.89

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Solution

The fourth proportional to 209,112.74, 313,492.76 and 90,694.89 is: 135,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,112.74 : 313,492.76 = 90,694.89 : x
  2. Step 2: Convert to fraction form
    209,112.74/313,492.76 = 90,694.89/x
  3. Step 3: Cross multiply
    209,112.74x = 313,492.76 × 90,694.89
  4. Step 4: Simplify right side
    209,112.74x = 28,432,191,270.63
  5. Step 5: Solve for x
    x = 28,432,191,270.63/209,112.74
  6. Step 6: Final answer
    x = 135,965.85

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1.5x scale

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.