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Finding the Fourth Proportional to 54,230.20, 81,186.90 and 38,678.20

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Solution

The fourth proportional to 54,230.20, 81,186.90 and 38,678.20 is: 57,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,230.20 : 81,186.90 = 38,678.20 : x
  2. Step 2: Convert to fraction form
    54,230.20/81,186.90 = 38,678.20/x
  3. Step 3: Cross multiply
    54,230.20x = 81,186.90 × 38,678.20
  4. Step 4: Simplify right side
    54,230.20x = 3,140,163,155.58
  5. Step 5: Solve for x
    x = 3,140,163,155.58/54,230.20
  6. Step 6: Final answer
    x = 57,904.33

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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.