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Finding the Fourth Proportional to 20,749,512.70, 31,068,281.85 and 20,749,512.70

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Solution

The fourth proportional to 20,749,512.70, 31,068,281.85 and 20,749,512.70 is: 31,068,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749,512.70 : 31,068,281.85 = 20,749,512.70 : x
  2. Step 2: Convert to fraction form
    20,749,512.70/31,068,281.85 = 20,749,512.70/x
  3. Step 3: Cross multiply
    20,749,512.70x = 31,068,281.85 × 20,749,512.70
  4. Step 4: Simplify right side
    20,749,512.70x = 644,651,708,813,754.50
  5. Step 5: Solve for x
    x = 644,651,708,813,754.50/20,749,512.70
  6. Step 6: Final answer
    x = 31,068,281.85

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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.