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Finding the Fourth Proportional to 20,779,829.80, 31,098,885.90 and 20,779,829.80

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Solution

The fourth proportional to 20,779,829.80, 31,098,885.90 and 20,779,829.80 is: 31,098,885.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,779,829.80 : 31,098,885.90 = 20,779,829.80 : x
  2. Step 2: Convert to fraction form
    20,779,829.80/31,098,885.90 = 20,779,829.80/x
  3. Step 3: Cross multiply
    20,779,829.80x = 31,098,885.90 × 20,779,829.80
  4. Step 4: Simplify right side
    20,779,829.80x = 646,229,555,971,619.75
  5. Step 5: Solve for x
    x = 646,229,555,971,619.75/20,779,829.80
  6. Step 6: Final answer
    x = 31,098,885.90

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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.