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Finding the Fourth Proportional to 146,185.68, 201,734.04 and 81,655.80

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Solution

The fourth proportional to 146,185.68, 201,734.04 and 81,655.80 is: 112,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,185.68 : 201,734.04 = 81,655.80 : x
  2. Step 2: Convert to fraction form
    146,185.68/201,734.04 = 81,655.80/x
  3. Step 3: Cross multiply
    146,185.68x = 201,734.04 × 81,655.80
  4. Step 4: Simplify right side
    146,185.68x = 16,472,754,423.43
  5. Step 5: Solve for x
    x = 16,472,754,423.43/146,185.68
  6. Step 6: Final answer
    x = 112,683.78

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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.