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Finding the Fourth Proportional to 209,272.60, 313,981.80 and 91,028.80

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Solution

The fourth proportional to 209,272.60, 313,981.80 and 91,028.80 is: 136,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,272.60 : 313,981.80 = 91,028.80 : x
  2. Step 2: Convert to fraction form
    209,272.60/313,981.80 = 91,028.80/x
  3. Step 3: Cross multiply
    209,272.60x = 313,981.80 × 91,028.80
  4. Step 4: Simplify right side
    209,272.60x = 28,581,386,475.84
  5. Step 5: Solve for x
    x = 28,581,386,475.84/209,272.60
  6. Step 6: Final answer
    x = 136,574.91

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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.