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Finding the Fourth Proportional to 39,820.70, 59,689.11 and 20,057.72

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Solution

The fourth proportional to 39,820.70, 59,689.11 and 20,057.72 is: 30,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,820.70 : 59,689.11 = 20,057.72 : x
  2. Step 2: Convert to fraction form
    39,820.70/59,689.11 = 20,057.72/x
  3. Step 3: Cross multiply
    39,820.70x = 59,689.11 × 20,057.72
  4. Step 4: Simplify right side
    39,820.70x = 1,197,227,455.43
  5. Step 5: Solve for x
    x = 1,197,227,455.43/39,820.70
  6. Step 6: Final answer
    x = 30,065.45

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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.