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Finding the Fourth Proportional to 201,919.20, 278,644.68 and 117,044.16

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Solution

The fourth proportional to 201,919.20, 278,644.68 and 117,044.16 is: 161,518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,919.20 : 278,644.68 = 117,044.16 : x
  2. Step 2: Convert to fraction form
    201,919.20/278,644.68 = 117,044.16/x
  3. Step 3: Cross multiply
    201,919.20x = 278,644.68 × 117,044.16
  4. Step 4: Simplify right side
    201,919.20x = 32,613,732,509.07
  5. Step 5: Solve for x
    x = 32,613,732,509.07/201,919.20
  6. Step 6: Final answer
    x = 161,518.73

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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.