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Finding the Fourth Proportional to 145,503.68, 200,796.39 and 80,975.63

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Solution

The fourth proportional to 145,503.68, 200,796.39 and 80,975.63 is: 111,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,503.68 : 200,796.39 = 80,975.63 : x
  2. Step 2: Convert to fraction form
    145,503.68/200,796.39 = 80,975.63/x
  3. Step 3: Cross multiply
    145,503.68x = 200,796.39 × 80,975.63
  4. Step 4: Simplify right side
    145,503.68x = 16,259,613,177.99
  5. Step 5: Solve for x
    x = 16,259,613,177.99/145,503.68
  6. Step 6: Final answer
    x = 111,747.10

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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.