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Finding the Fourth Proportional to 201,661.92, 302,654.16 and 90,862.56

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Solution

The fourth proportional to 201,661.92, 302,654.16 and 90,862.56 is: 136,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,661.92 : 302,654.16 = 90,862.56 : x
  2. Step 2: Convert to fraction form
    201,661.92/302,654.16 = 90,862.56/x
  3. Step 3: Cross multiply
    201,661.92x = 302,654.16 × 90,862.56
  4. Step 4: Simplify right side
    201,661.92x = 27,499,931,772.25
  5. Step 5: Solve for x
    x = 27,499,931,772.25/201,661.92
  6. Step 6: Final answer
    x = 136,366.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.