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Finding the Fourth Proportional to 149,300.71, 206,037.44 and 81,319

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Solution

The fourth proportional to 149,300.71, 206,037.44 and 81,319 is: 112,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,300.71 : 206,037.44 = 81,319 : x
  2. Step 2: Convert to fraction form
    149,300.71/206,037.44 = 81,319/x
  3. Step 3: Cross multiply
    149,300.71x = 206,037.44 × 81,319
  4. Step 4: Simplify right side
    149,300.71x = 16,754,758,583.36
  5. Step 5: Solve for x
    x = 16,754,758,583.36/149,300.71
  6. Step 6: Final answer
    x = 112,221.56

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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.