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Finding the Fourth Proportional to 137,309.38, 189,477.92 and 76,879.46

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Solution

The fourth proportional to 137,309.38, 189,477.92 and 76,879.46 is: 106,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,309.38 : 189,477.92 = 76,879.46 : x
  2. Step 2: Convert to fraction form
    137,309.38/189,477.92 = 76,879.46/x
  3. Step 3: Cross multiply
    137,309.38x = 189,477.92 × 76,879.46
  4. Step 4: Simplify right side
    137,309.38x = 14,566,960,837.42
  5. Step 5: Solve for x
    x = 14,566,960,837.42/137,309.38
  6. Step 6: Final answer
    x = 106,088.61

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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.