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Finding the Fourth Proportional to 55,602.70, 83,404.05 and 31,983.10

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Solution

The fourth proportional to 55,602.70, 83,404.05 and 31,983.10 is: 47,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,602.70 : 83,404.05 = 31,983.10 : x
  2. Step 2: Convert to fraction form
    55,602.70/83,404.05 = 31,983.10/x
  3. Step 3: Cross multiply
    55,602.70x = 83,404.05 × 31,983.10
  4. Step 4: Simplify right side
    55,602.70x = 2,667,520,071.56
  5. Step 5: Solve for x
    x = 2,667,520,071.56/55,602.70
  6. Step 6: Final answer
    x = 47,974.65

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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.