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Finding the Fourth Proportional to 137,644.38, 189,963.63 and 77,231.34

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Solution

The fourth proportional to 137,644.38, 189,963.63 and 77,231.34 is: 106,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,644.38 : 189,963.63 = 77,231.34 : x
  2. Step 2: Convert to fraction form
    137,644.38/189,963.63 = 77,231.34/x
  3. Step 3: Cross multiply
    137,644.38x = 189,963.63 × 77,231.34
  4. Step 4: Simplify right side
    137,644.38x = 14,671,145,696.16
  5. Step 5: Solve for x
    x = 14,671,145,696.16/137,644.38
  6. Step 6: Final answer
    x = 106,587.32

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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.