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Finding the Fourth Proportional to 92,378.24, 138,221.31 and 65,785.67

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Solution

The fourth proportional to 92,378.24, 138,221.31 and 65,785.67 is: 98,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,378.24 : 138,221.31 = 65,785.67 : x
  2. Step 2: Convert to fraction form
    92,378.24/138,221.31 = 65,785.67/x
  3. Step 3: Cross multiply
    92,378.24x = 138,221.31 × 65,785.67
  4. Step 4: Simplify right side
    92,378.24x = 9,092,980,795.52
  5. Step 5: Solve for x
    x = 9,092,980,795.52/92,378.24
  6. Step 6: Final answer
    x = 98,432.07

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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.