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Finding the Fourth Proportional to 144,502.14, 199,420.47 and 80,841

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Solution

The fourth proportional to 144,502.14, 199,420.47 and 80,841 is: 111,564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,502.14 : 199,420.47 = 80,841 : x
  2. Step 2: Convert to fraction form
    144,502.14/199,420.47 = 80,841/x
  3. Step 3: Cross multiply
    144,502.14x = 199,420.47 × 80,841
  4. Step 4: Simplify right side
    144,502.14x = 16,121,350,215.27
  5. Step 5: Solve for x
    x = 16,121,350,215.27/144,502.14
  6. Step 6: Final answer
    x = 111,564.79

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1.5x scale

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.