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Finding the Fourth Proportional to 73,983.76, 102,097.68 and 40,449.76

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Solution

The fourth proportional to 73,983.76, 102,097.68 and 40,449.76 is: 55,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,983.76 : 102,097.68 = 40,449.76 : x
  2. Step 2: Convert to fraction form
    73,983.76/102,097.68 = 40,449.76/x
  3. Step 3: Cross multiply
    73,983.76x = 102,097.68 × 40,449.76
  4. Step 4: Simplify right side
    73,983.76x = 4,129,826,652.56
  5. Step 5: Solve for x
    x = 4,129,826,652.56/73,983.76
  6. Step 6: Final answer
    x = 55,820.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.