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Finding the Fourth Proportional to 149,443.84, 206,229.81 and 81,461.39

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Solution

The fourth proportional to 149,443.84, 206,229.81 and 81,461.39 is: 112,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,443.84 : 206,229.81 = 81,461.39 : x
  2. Step 2: Convert to fraction form
    149,443.84/206,229.81 = 81,461.39/x
  3. Step 3: Cross multiply
    149,443.84x = 206,229.81 × 81,461.39
  4. Step 4: Simplify right side
    149,443.84x = 16,799,767,803.09
  5. Step 5: Solve for x
    x = 16,799,767,803.09/149,443.84
  6. Step 6: Final answer
    x = 112,415.26

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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.