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Finding the Fourth Proportional to 200,939.97, 301,455.95 and 87,106.80

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Solution

The fourth proportional to 200,939.97, 301,455.95 and 87,106.80 is: 130,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,939.97 : 301,455.95 = 87,106.80 : x
  2. Step 2: Convert to fraction form
    200,939.97/301,455.95 = 87,106.80/x
  3. Step 3: Cross multiply
    200,939.97x = 301,455.95 × 87,106.80
  4. Step 4: Simplify right side
    200,939.97x = 26,258,862,709.93
  5. Step 5: Solve for x
    x = 26,258,862,709.93/200,939.97
  6. Step 6: Final answer
    x = 130,680.14

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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.