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Finding the Fourth Proportional to 67,223.18, 100,837.54 and 19,838.28

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Solution

The fourth proportional to 67,223.18, 100,837.54 and 19,838.28 is: 29,758.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,223.18 : 100,837.54 = 19,838.28 : x
  2. Step 2: Convert to fraction form
    67,223.18/100,837.54 = 19,838.28/x
  3. Step 3: Cross multiply
    67,223.18x = 100,837.54 × 19,838.28
  4. Step 4: Simplify right side
    67,223.18x = 2,000,443,353.03
  5. Step 5: Solve for x
    x = 2,000,443,353.03/67,223.18
  6. Step 6: Final answer
    x = 29,758.24

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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.