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Finding the Fourth Proportional to 152,229.78, 228,398.74 and 67,982.29

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Solution

The fourth proportional to 152,229.78, 228,398.74 and 67,982.29 is: 101,997.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,229.78 : 228,398.74 = 67,982.29 : x
  2. Step 2: Convert to fraction form
    152,229.78/228,398.74 = 67,982.29/x
  3. Step 3: Cross multiply
    152,229.78x = 228,398.74 × 67,982.29
  4. Step 4: Simplify right side
    152,229.78x = 15,527,068,637.36
  5. Step 5: Solve for x
    x = 15,527,068,637.36/152,229.78
  6. Step 6: Final answer
    x = 101,997.58

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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.