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Finding the Fourth Proportional to 20,802,638.40, 31,161,967.20 and 20,802,638.40

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Solution

The fourth proportional to 20,802,638.40, 31,161,967.20 and 20,802,638.40 is: 31,161,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802,638.40 : 31,161,967.20 = 20,802,638.40 : x
  2. Step 2: Convert to fraction form
    20,802,638.40/31,161,967.20 = 20,802,638.40/x
  3. Step 3: Cross multiply
    20,802,638.40x = 31,161,967.20 × 20,802,638.40
  4. Step 4: Simplify right side
    20,802,638.40x = 648,251,135,494,260.38
  5. Step 5: Solve for x
    x = 648,251,135,494,260.38/20,802,638.40
  6. Step 6: Final answer
    x = 31,161,967.20

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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.