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Finding the Fourth Proportional to 144,374.76, 199,243.36 and 80,712.54

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Solution

The fourth proportional to 144,374.76, 199,243.36 and 80,712.54 is: 111,386.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,374.76 : 199,243.36 = 80,712.54 : x
  2. Step 2: Convert to fraction form
    144,374.76/199,243.36 = 80,712.54/x
  3. Step 3: Cross multiply
    144,374.76x = 199,243.36 × 80,712.54
  4. Step 4: Simplify right side
    144,374.76x = 16,081,437,663.73
  5. Step 5: Solve for x
    x = 16,081,437,663.73/144,374.76
  6. Step 6: Final answer
    x = 111,386.77

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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.