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Finding the Fourth Proportional to 137,545.72, 189,846.86 and 83,860.34

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Solution

The fourth proportional to 137,545.72, 189,846.86 and 83,860.34 is: 115,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,545.72 : 189,846.86 = 83,860.34 : x
  2. Step 2: Convert to fraction form
    137,545.72/189,846.86 = 83,860.34/x
  3. Step 3: Cross multiply
    137,545.72x = 189,846.86 × 83,860.34
  4. Step 4: Simplify right side
    137,545.72x = 15,920,620,859.00
  5. Step 5: Solve for x
    x = 15,920,620,859.00/137,545.72
  6. Step 6: Final answer
    x = 115,747.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.