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Finding the Fourth Proportional to 159,918, 220,706.28 and 92,850

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Solution

The fourth proportional to 159,918, 220,706.28 and 92,850 is: 128,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,918 : 220,706.28 = 92,850 : x
  2. Step 2: Convert to fraction form
    159,918/220,706.28 = 92,850/x
  3. Step 3: Cross multiply
    159,918x = 220,706.28 × 92,850
  4. Step 4: Simplify right side
    159,918x = 20,492,578,098
  5. Step 5: Solve for x
    x = 20,492,578,098/159,918
  6. Step 6: Final answer
    x = 128,144.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.