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Finding the Fourth Proportional to 92,309.85, 138,365.90 and 65,934.57

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Solution

The fourth proportional to 92,309.85, 138,365.90 and 65,934.57 is: 98,831.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,309.85 : 138,365.90 = 65,934.57 : x
  2. Step 2: Convert to fraction form
    92,309.85/138,365.90 = 65,934.57/x
  3. Step 3: Cross multiply
    92,309.85x = 138,365.90 × 65,934.57
  4. Step 4: Simplify right side
    92,309.85x = 9,123,095,789.49
  5. Step 5: Solve for x
    x = 9,123,095,789.49/92,309.85
  6. Step 6: Final answer
    x = 98,831.23

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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.