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Finding the Fourth Proportional to 71,783.82, 98,959.02 and 50,497.02

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Solution

The fourth proportional to 71,783.82, 98,959.02 and 50,497.02 is: 69,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,783.82 : 98,959.02 = 50,497.02 : x
  2. Step 2: Convert to fraction form
    71,783.82/98,959.02 = 50,497.02/x
  3. Step 3: Cross multiply
    71,783.82x = 98,959.02 × 50,497.02
  4. Step 4: Simplify right side
    71,783.82x = 4,997,135,612.12
  5. Step 5: Solve for x
    x = 4,997,135,612.12/71,783.82
  6. Step 6: Final answer
    x = 69,613.68

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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.