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Finding the Fourth Proportional to 19,950.80, 29,929.80 and 10,065.20

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Solution

The fourth proportional to 19,950.80, 29,929.80 and 10,065.20 is: 15,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,950.80 : 29,929.80 = 10,065.20 : x
  2. Step 2: Convert to fraction form
    19,950.80/29,929.80 = 10,065.20/x
  3. Step 3: Cross multiply
    19,950.80x = 29,929.80 × 10,065.20
  4. Step 4: Simplify right side
    19,950.80x = 301,249,422.96
  5. Step 5: Solve for x
    x = 301,249,422.96/19,950.80
  6. Step 6: Final answer
    x = 15,099.62

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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.