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Finding the Fourth Proportional to 19,854,378.80, 29,787,097.80 and 9,757,329.20

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Solution

The fourth proportional to 19,854,378.80, 29,787,097.80 and 9,757,329.20 is: 14,638,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854,378.80 : 29,787,097.80 = 9,757,329.20 : x
  2. Step 2: Convert to fraction form
    19,854,378.80/29,787,097.80 = 9,757,329.20/x
  3. Step 3: Cross multiply
    19,854,378.80x = 29,787,097.80 × 9,757,329.20
  4. Step 4: Simplify right side
    19,854,378.80x = 290,642,519,147,195.75
  5. Step 5: Solve for x
    x = 290,642,519,147,195.75/19,854,378.80
  6. Step 6: Final answer
    x = 14,638,711.29

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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.