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Finding the Fourth Proportional to 149,709.68, 206,599.78 and 81,726.72

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Solution

The fourth proportional to 149,709.68, 206,599.78 and 81,726.72 is: 112,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,709.68 : 206,599.78 = 81,726.72 : x
  2. Step 2: Convert to fraction form
    149,709.68/206,599.78 = 81,726.72/x
  3. Step 3: Cross multiply
    149,709.68x = 206,599.78 × 81,726.72
  4. Step 4: Simplify right side
    149,709.68x = 16,884,722,372.12
  5. Step 5: Solve for x
    x = 16,884,722,372.12/149,709.68
  6. Step 6: Final answer
    x = 112,783.10

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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.