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Finding the Fourth Proportional to 149,713.32, 206,601.30 and 81,731.64

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Solution

The fourth proportional to 149,713.32, 206,601.30 and 81,731.64 is: 112,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713.32 : 206,601.30 = 81,731.64 : x
  2. Step 2: Convert to fraction form
    149,713.32/206,601.30 = 81,731.64/x
  3. Step 3: Cross multiply
    149,713.32x = 206,601.30 × 81,731.64
  4. Step 4: Simplify right side
    149,713.32x = 16,885,863,075.13
  5. Step 5: Solve for x
    x = 16,885,863,075.13/149,713.32
  6. Step 6: Final answer
    x = 112,787.98

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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.