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Finding the Fourth Proportional to 149,578.68, 206,418.78 and 81,595.68

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Solution

The fourth proportional to 149,578.68, 206,418.78 and 81,595.68 is: 112,602.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,578.68 : 206,418.78 = 81,595.68 : x
  2. Step 2: Convert to fraction form
    149,578.68/206,418.78 = 81,595.68/x
  3. Step 3: Cross multiply
    149,578.68x = 206,418.78 × 81,595.68
  4. Step 4: Simplify right side
    149,578.68x = 16,842,880,718.87
  5. Step 5: Solve for x
    x = 16,842,880,718.87/149,578.68
  6. Step 6: Final answer
    x = 112,602.15

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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.