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Finding the Fourth Proportional to 148,366.34, 204,745.26 and 80,385

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Solution

The fourth proportional to 148,366.34, 204,745.26 and 80,385 is: 110,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,366.34 : 204,745.26 = 80,385 : x
  2. Step 2: Convert to fraction form
    148,366.34/204,745.26 = 80,385/x
  3. Step 3: Cross multiply
    148,366.34x = 204,745.26 × 80,385
  4. Step 4: Simplify right side
    148,366.34x = 16,458,447,725.10
  5. Step 5: Solve for x
    x = 16,458,447,725.10/148,366.34
  6. Step 6: Final answer
    x = 110,931.15

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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.