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Finding the Fourth Proportional to 140,477.31, 193,960.22 and 86,835.87

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Solution

The fourth proportional to 140,477.31, 193,960.22 and 86,835.87 is: 119,896.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,477.31 : 193,960.22 = 86,835.87 : x
  2. Step 2: Convert to fraction form
    140,477.31/193,960.22 = 86,835.87/x
  3. Step 3: Cross multiply
    140,477.31x = 193,960.22 × 86,835.87
  4. Step 4: Simplify right side
    140,477.31x = 16,842,704,014.91
  5. Step 5: Solve for x
    x = 16,842,704,014.91/140,477.31
  6. Step 6: Final answer
    x = 119,896.26

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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.