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Finding the Fourth Proportional to 209,692.79, 289,357.76 and 119,052.57

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Solution

The fourth proportional to 209,692.79, 289,357.76 and 119,052.57 is: 164,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,692.79 : 289,357.76 = 119,052.57 : x
  2. Step 2: Convert to fraction form
    209,692.79/289,357.76 = 119,052.57/x
  3. Step 3: Cross multiply
    209,692.79x = 289,357.76 × 119,052.57
  4. Step 4: Simplify right side
    209,692.79x = 34,448,784,382.18
  5. Step 5: Solve for x
    x = 34,448,784,382.18/209,692.79
  6. Step 6: Final answer
    x = 164,282.16

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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.