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Finding the Fourth Proportional to 102,127.92, 140,879.01 and 61,281.48

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Solution

The fourth proportional to 102,127.92, 140,879.01 and 61,281.48 is: 84,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,127.92 : 140,879.01 = 61,281.48 : x
  2. Step 2: Convert to fraction form
    102,127.92/140,879.01 = 61,281.48/x
  3. Step 3: Cross multiply
    102,127.92x = 140,879.01 × 61,281.48
  4. Step 4: Simplify right side
    102,127.92x = 8,633,274,233.73
  5. Step 5: Solve for x
    x = 8,633,274,233.73/102,127.92
  6. Step 6: Final answer
    x = 84,533.93

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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.