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Finding the Fourth Proportional to 55,491,115.65, 77,815,107.75 and 55,491,115.65

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Solution

The fourth proportional to 55,491,115.65, 77,815,107.75 and 55,491,115.65 is: 77,815,107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,491,115.65 : 77,815,107.75 = 55,491,115.65 : x
  2. Step 2: Convert to fraction form
    55,491,115.65/77,815,107.75 = 55,491,115.65/x
  3. Step 3: Cross multiply
    55,491,115.65x = 77,815,107.75 × 55,491,115.65
  4. Step 4: Simplify right side
    55,491,115.65x = 4,318,047,143,472,461
  5. Step 5: Solve for x
    x = 4,318,047,143,472,461/55,491,115.65
  6. Step 6: Final answer
    x = 77,815,107.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.