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Finding the Fourth Proportional to 68,373.81, 102,567.87 and 18,454.32

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Solution

The fourth proportional to 68,373.81, 102,567.87 and 18,454.32 is: 27,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,373.81 : 102,567.87 = 18,454.32 : x
  2. Step 2: Convert to fraction form
    68,373.81/102,567.87 = 18,454.32/x
  3. Step 3: Cross multiply
    68,373.81x = 102,567.87 × 18,454.32
  4. Step 4: Simplify right side
    68,373.81x = 1,892,820,294.70
  5. Step 5: Solve for x
    x = 1,892,820,294.70/68,373.81
  6. Step 6: Final answer
    x = 27,683.41

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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.