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Finding the Fourth Proportional to 209,112.61, 313,492.58 and 90,694.76

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Solution

The fourth proportional to 209,112.61, 313,492.58 and 90,694.76 is: 135,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,112.61 : 313,492.58 = 90,694.76 : x
  2. Step 2: Convert to fraction form
    209,112.61/313,492.58 = 90,694.76/x
  3. Step 3: Cross multiply
    209,112.61x = 313,492.58 × 90,694.76
  4. Step 4: Simplify right side
    209,112.61x = 28,432,132,283.94
  5. Step 5: Solve for x
    x = 28,432,132,283.94/209,112.61
  6. Step 6: Final answer
    x = 135,965.65

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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.