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Finding the Fourth Proportional to 137,553.39, 189,831.47 and 77,143.32

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Solution

The fourth proportional to 137,553.39, 189,831.47 and 77,143.32 is: 106,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,553.39 : 189,831.47 = 77,143.32 : x
  2. Step 2: Convert to fraction form
    137,553.39/189,831.47 = 77,143.32/x
  3. Step 3: Cross multiply
    137,553.39x = 189,831.47 × 77,143.32
  4. Step 4: Simplify right side
    137,553.39x = 14,644,229,450.56
  5. Step 5: Solve for x
    x = 14,644,229,450.56/137,553.39
  6. Step 6: Final answer
    x = 106,462.15

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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.