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Finding the Fourth Proportional to 73,078.20, 109,574.76 and 28,652.88

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Solution

The fourth proportional to 73,078.20, 109,574.76 and 28,652.88 is: 42,962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,078.20 : 109,574.76 = 28,652.88 : x
  2. Step 2: Convert to fraction form
    73,078.20/109,574.76 = 28,652.88/x
  3. Step 3: Cross multiply
    73,078.20x = 109,574.76 × 28,652.88
  4. Step 4: Simplify right side
    73,078.20x = 3,139,632,449.31
  5. Step 5: Solve for x
    x = 3,139,632,449.31/73,078.20
  6. Step 6: Final answer
    x = 42,962.64

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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.