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Finding the Fourth Proportional to 144,374.86, 199,237.75 and 80,712.66

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Solution

The fourth proportional to 144,374.86, 199,237.75 and 80,712.66 is: 111,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,374.86 : 199,237.75 = 80,712.66 : x
  2. Step 2: Convert to fraction form
    144,374.86/199,237.75 = 80,712.66/x
  3. Step 3: Cross multiply
    144,374.86x = 199,237.75 × 80,712.66
  4. Step 4: Simplify right side
    144,374.86x = 16,081,008,566.66
  5. Step 5: Solve for x
    x = 16,081,008,566.66/144,374.86
  6. Step 6: Final answer
    x = 111,383.72

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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.