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Finding the Fourth Proportional to 73,139.44, 109,748.85 and 31,043.20

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Solution

The fourth proportional to 73,139.44, 109,748.85 and 31,043.20 is: 46,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,139.44 : 109,748.85 = 31,043.20 : x
  2. Step 2: Convert to fraction form
    73,139.44/109,748.85 = 31,043.20/x
  3. Step 3: Cross multiply
    73,139.44x = 109,748.85 × 31,043.20
  4. Step 4: Simplify right side
    73,139.44x = 3,406,955,500.32
  5. Step 5: Solve for x
    x = 3,406,955,500.32/73,139.44
  6. Step 6: Final answer
    x = 46,581.65

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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.