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Finding the Fourth Proportional to 123,546.80, 185,320.20 and 109,768.70

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Solution

The fourth proportional to 123,546.80, 185,320.20 and 109,768.70 is: 164,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,546.80 : 185,320.20 = 109,768.70 : x
  2. Step 2: Convert to fraction form
    123,546.80/185,320.20 = 109,768.70/x
  3. Step 3: Cross multiply
    123,546.80x = 185,320.20 × 109,768.70
  4. Step 4: Simplify right side
    123,546.80x = 20,342,357,437.74
  5. Step 5: Solve for x
    x = 20,342,357,437.74/123,546.80
  6. Step 6: Final answer
    x = 164,653.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.