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Finding the Fourth Proportional to 144,334, 199,177.47 and 80,677.72

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Solution

The fourth proportional to 144,334, 199,177.47 and 80,677.72 is: 111,333.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,334 : 199,177.47 = 80,677.72 : x
  2. Step 2: Convert to fraction form
    144,334/199,177.47 = 80,677.72/x
  3. Step 3: Cross multiply
    144,334x = 199,177.47 × 80,677.72
  4. Step 4: Simplify right side
    144,334x = 16,069,184,154.97
  5. Step 5: Solve for x
    x = 16,069,184,154.97/144,334
  6. Step 6: Final answer
    x = 111,333.33

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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.