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Finding the Fourth Proportional to 54,743.40, 82,117.80 and 28,499.40

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Solution

The fourth proportional to 54,743.40, 82,117.80 and 28,499.40 is: 42,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,743.40 : 82,117.80 = 28,499.40 : x
  2. Step 2: Convert to fraction form
    54,743.40/82,117.80 = 28,499.40/x
  3. Step 3: Cross multiply
    54,743.40x = 82,117.80 × 28,499.40
  4. Step 4: Simplify right side
    54,743.40x = 2,340,308,029.32
  5. Step 5: Solve for x
    x = 2,340,308,029.32/54,743.40
  6. Step 6: Final answer
    x = 42,750.51

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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.