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Finding the Fourth Proportional to 209,920.37, 289,679.15 and 119,263.74

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Solution

The fourth proportional to 209,920.37, 289,679.15 and 119,263.74 is: 164,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,920.37 : 289,679.15 = 119,263.74 : x
  2. Step 2: Convert to fraction form
    209,920.37/289,679.15 = 119,263.74/x
  3. Step 3: Cross multiply
    209,920.37x = 289,679.15 × 119,263.74
  4. Step 4: Simplify right side
    209,920.37x = 34,548,218,232.70
  5. Step 5: Solve for x
    x = 34,548,218,232.70/209,920.37
  6. Step 6: Final answer
    x = 164,577.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.