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Finding the Fourth Proportional to 209,692.80, 289,366.17 and 119,036.79

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Solution

The fourth proportional to 209,692.80, 289,366.17 and 119,036.79 is: 164,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,692.80 : 289,366.17 = 119,036.79 : x
  2. Step 2: Convert to fraction form
    209,692.80/289,366.17 = 119,036.79/x
  3. Step 3: Cross multiply
    209,692.80x = 289,366.17 × 119,036.79
  4. Step 4: Simplify right side
    209,692.80x = 34,445,220,011.39
  5. Step 5: Solve for x
    x = 34,445,220,011.39/209,692.80
  6. Step 6: Final answer
    x = 164,265.15

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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.