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Finding the Fourth Proportional to 209,289.59, 313,927.36 and 90,960.92

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Solution

The fourth proportional to 209,289.59, 313,927.36 and 90,960.92 is: 136,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,289.59 : 313,927.36 = 90,960.92 : x
  2. Step 2: Convert to fraction form
    209,289.59/313,927.36 = 90,960.92/x
  3. Step 3: Cross multiply
    209,289.59x = 313,927.36 × 90,960.92
  4. Step 4: Simplify right side
    209,289.59x = 28,555,121,478.77
  5. Step 5: Solve for x
    x = 28,555,121,478.77/209,289.59
  6. Step 6: Final answer
    x = 136,438.33

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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.