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Finding the Fourth Proportional to 68,323.78, 102,488.74 and 20,935.40

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Solution

The fourth proportional to 68,323.78, 102,488.74 and 20,935.40 is: 31,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,323.78 : 102,488.74 = 20,935.40 : x
  2. Step 2: Convert to fraction form
    68,323.78/102,488.74 = 20,935.40/x
  3. Step 3: Cross multiply
    68,323.78x = 102,488.74 × 20,935.40
  4. Step 4: Simplify right side
    68,323.78x = 2,145,642,767.40
  5. Step 5: Solve for x
    x = 2,145,642,767.40/68,323.78
  6. Step 6: Final answer
    x = 31,404.04

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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.