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Finding the Fourth Proportional to 209,489.77, 313,987.42 and 89,511.63

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Solution

The fourth proportional to 209,489.77, 313,987.42 and 89,511.63 is: 134,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,489.77 : 313,987.42 = 89,511.63 : x
  2. Step 2: Convert to fraction form
    209,489.77/313,987.42 = 89,511.63/x
  3. Step 3: Cross multiply
    209,489.77x = 313,987.42 × 89,511.63
  4. Step 4: Simplify right side
    209,489.77x = 28,105,526,275.50
  5. Step 5: Solve for x
    x = 28,105,526,275.50/209,489.77
  6. Step 6: Final answer
    x = 134,161.81

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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.