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Finding the Fourth Proportional to 145,661.76, 201,020.40 and 82,006.56

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Solution

The fourth proportional to 145,661.76, 201,020.40 and 82,006.56 is: 113,173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,661.76 : 201,020.40 = 82,006.56 : x
  2. Step 2: Convert to fraction form
    145,661.76/201,020.40 = 82,006.56/x
  3. Step 3: Cross multiply
    145,661.76x = 201,020.40 × 82,006.56
  4. Step 4: Simplify right side
    145,661.76x = 16,484,991,493.82
  5. Step 5: Solve for x
    x = 16,484,991,493.82/145,661.76
  6. Step 6: Final answer
    x = 113,173.09

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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.