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Finding the Fourth Proportional to 149,838.66, 206,773.88 and 81,855.91

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Solution

The fourth proportional to 149,838.66, 206,773.88 and 81,855.91 is: 112,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,838.66 : 206,773.88 = 81,855.91 : x
  2. Step 2: Convert to fraction form
    149,838.66/206,773.88 = 81,855.91/x
  3. Step 3: Cross multiply
    149,838.66x = 206,773.88 × 81,855.91
  4. Step 4: Simplify right side
    149,838.66x = 16,925,664,111.63
  5. Step 5: Solve for x
    x = 16,925,664,111.63/149,838.66
  6. Step 6: Final answer
    x = 112,959.26

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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.