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Finding the Fourth Proportional to 209,295.30, 313,935.84 and 90,966.63

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Solution

The fourth proportional to 209,295.30, 313,935.84 and 90,966.63 is: 136,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,295.30 : 313,935.84 = 90,966.63 : x
  2. Step 2: Convert to fraction form
    209,295.30/313,935.84 = 90,966.63/x
  3. Step 3: Cross multiply
    209,295.30x = 313,935.84 × 90,966.63
  4. Step 4: Simplify right side
    209,295.30x = 28,557,685,401.02
  5. Step 5: Solve for x
    x = 28,557,685,401.02/209,295.30
  6. Step 6: Final answer
    x = 136,446.85

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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.