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Finding the Fourth Proportional to 137,521.80, 189,793.53 and 77,092.56

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Solution

The fourth proportional to 137,521.80, 189,793.53 and 77,092.56 is: 106,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,521.80 : 189,793.53 = 77,092.56 : x
  2. Step 2: Convert to fraction form
    137,521.80/189,793.53 = 77,092.56/x
  3. Step 3: Cross multiply
    137,521.80x = 189,793.53 × 77,092.56
  4. Step 4: Simplify right side
    137,521.80x = 14,631,669,099.14
  5. Step 5: Solve for x
    x = 14,631,669,099.14/137,521.80
  6. Step 6: Final answer
    x = 106,395.27

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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.