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Finding the Fourth Proportional to 146,195.69, 201,728.58 and 81,656.98

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Solution

The fourth proportional to 146,195.69, 201,728.58 and 81,656.98 is: 112,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,195.69 : 201,728.58 = 81,656.98 : x
  2. Step 2: Convert to fraction form
    146,195.69/201,728.58 = 81,656.98/x
  3. Step 3: Cross multiply
    146,195.69x = 201,728.58 × 81,656.98
  4. Step 4: Simplify right side
    146,195.69x = 16,472,546,500.93
  5. Step 5: Solve for x
    x = 16,472,546,500.93/146,195.69
  6. Step 6: Final answer
    x = 112,674.64

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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.