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Finding the Fourth Proportional to 92,378.73, 138,222.06 and 65,786.16

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Solution

The fourth proportional to 92,378.73, 138,222.06 and 65,786.16 is: 98,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,378.73 : 138,222.06 = 65,786.16 : x
  2. Step 2: Convert to fraction form
    92,378.73/138,222.06 = 65,786.16/x
  3. Step 3: Cross multiply
    92,378.73x = 138,222.06 × 65,786.16
  4. Step 4: Simplify right side
    92,378.73x = 9,093,098,554.69
  5. Step 5: Solve for x
    x = 9,093,098,554.69/92,378.73
  6. Step 6: Final answer
    x = 98,432.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.