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Finding the Fourth Proportional to 20,854,920.15, 31,282,380.23 and 20,854,920.15

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Solution

The fourth proportional to 20,854,920.15, 31,282,380.23 and 20,854,920.15 is: 31,282,380.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854,920.15 : 31,282,380.23 = 20,854,920.15 : x
  2. Step 2: Convert to fraction form
    20,854,920.15/31,282,380.23 = 20,854,920.15/x
  3. Step 3: Cross multiply
    20,854,920.15x = 31,282,380.23 × 20,854,920.15
  4. Step 4: Simplify right side
    20,854,920.15x = 652,391,541,694,314
  5. Step 5: Solve for x
    x = 652,391,541,694,314/20,854,920.15
  6. Step 6: Final answer
    x = 31,282,380.23

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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.