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Finding the Fourth Proportional to 145,169.82, 217,785.84 and 50,403

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Solution

The fourth proportional to 145,169.82, 217,785.84 and 50,403 is: 75,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,169.82 : 217,785.84 = 50,403 : x
  2. Step 2: Convert to fraction form
    145,169.82/217,785.84 = 50,403/x
  3. Step 3: Cross multiply
    145,169.82x = 217,785.84 × 50,403
  4. Step 4: Simplify right side
    145,169.82x = 10,977,059,693.52
  5. Step 5: Solve for x
    x = 10,977,059,693.52/145,169.82
  6. Step 6: Final answer
    x = 75,615.30

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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.