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Finding the Fourth Proportional to 137,438.20, 192,569 and 137,438.20

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Solution

The fourth proportional to 137,438.20, 192,569 and 137,438.20 is: 192,569

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,438.20 : 192,569 = 137,438.20 : x
  2. Step 2: Convert to fraction form
    137,438.20/192,569 = 137,438.20/x
  3. Step 3: Cross multiply
    137,438.20x = 192,569 × 137,438.20
  4. Step 4: Simplify right side
    137,438.20x = 26,466,336,735.80
  5. Step 5: Solve for x
    x = 26,466,336,735.80/137,438.20
  6. Step 6: Final answer
    x = 192,569

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.