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Finding the Fourth Proportional to 131,912.15, 182,039.41 and 71,482.78

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Solution

The fourth proportional to 131,912.15, 182,039.41 and 71,482.78 is: 98,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,912.15 : 182,039.41 = 71,482.78 : x
  2. Step 2: Convert to fraction form
    131,912.15/182,039.41 = 71,482.78/x
  3. Step 3: Cross multiply
    131,912.15x = 182,039.41 × 71,482.78
  4. Step 4: Simplify right side
    131,912.15x = 13,012,683,096.36
  5. Step 5: Solve for x
    x = 13,012,683,096.36/131,912.15
  6. Step 6: Final answer
    x = 98,646.58

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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.