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Finding the Fourth Proportional to 145,695.69, 201,057.03 and 81,164.84

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Solution

The fourth proportional to 145,695.69, 201,057.03 and 81,164.84 is: 112,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,695.69 : 201,057.03 = 81,164.84 : x
  2. Step 2: Convert to fraction form
    145,695.69/201,057.03 = 81,164.84/x
  3. Step 3: Cross multiply
    145,695.69x = 201,057.03 × 81,164.84
  4. Step 4: Simplify right side
    145,695.69x = 16,318,760,665.54
  5. Step 5: Solve for x
    x = 16,318,760,665.54/145,695.69
  6. Step 6: Final answer
    x = 112,005.79

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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.