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Finding the Fourth Proportional to 201,798.13, 278,481.41 and 116,964.40

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Solution

The fourth proportional to 201,798.13, 278,481.41 and 116,964.40 is: 161,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,798.13 : 278,481.41 = 116,964.40 : x
  2. Step 2: Convert to fraction form
    201,798.13/278,481.41 = 116,964.40/x
  3. Step 3: Cross multiply
    201,798.13x = 278,481.41 × 116,964.40
  4. Step 4: Simplify right side
    201,798.13x = 32,572,411,031.80
  5. Step 5: Solve for x
    x = 32,572,411,031.80/201,798.13
  6. Step 6: Final answer
    x = 161,410.87

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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.