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Finding the Fourth Proportional to 92,716.38, 138,809.70 and 86,831.10

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Solution

The fourth proportional to 92,716.38, 138,809.70 and 86,831.10 is: 129,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,716.38 : 138,809.70 = 86,831.10 : x
  2. Step 2: Convert to fraction form
    92,716.38/138,809.70 = 86,831.10/x
  3. Step 3: Cross multiply
    92,716.38x = 138,809.70 × 86,831.10
  4. Step 4: Simplify right side
    92,716.38x = 12,052,998,941.67
  5. Step 5: Solve for x
    x = 12,052,998,941.67/92,716.38
  6. Step 6: Final answer
    x = 129,998.59

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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.