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Finding the Fourth Proportional to 209,216.98, 313,648.62 and 90,799.30

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Solution

The fourth proportional to 209,216.98, 313,648.62 and 90,799.30 is: 136,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,216.98 : 313,648.62 = 90,799.30 : x
  2. Step 2: Convert to fraction form
    209,216.98/313,648.62 = 90,799.30/x
  3. Step 3: Cross multiply
    209,216.98x = 313,648.62 × 90,799.30
  4. Step 4: Simplify right side
    209,216.98x = 28,479,075,141.97
  5. Step 5: Solve for x
    x = 28,479,075,141.97/209,216.98
  6. Step 6: Final answer
    x = 136,122.20

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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.