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Finding the Fourth Proportional to 68,678.44, 103,019.46 and 21,931.30

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Solution

The fourth proportional to 68,678.44, 103,019.46 and 21,931.30 is: 32,897.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,678.44 : 103,019.46 = 21,931.30 : x
  2. Step 2: Convert to fraction form
    68,678.44/103,019.46 = 21,931.30/x
  3. Step 3: Cross multiply
    68,678.44x = 103,019.46 × 21,931.30
  4. Step 4: Simplify right side
    68,678.44x = 2,259,350,683.10
  5. Step 5: Solve for x
    x = 2,259,350,683.10/68,678.44
  6. Step 6: Final answer
    x = 32,897.52

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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.