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Finding the Fourth Proportional to 85,831.76, 118,446.60 and 47,591.38

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Solution

The fourth proportional to 85,831.76, 118,446.60 and 47,591.38 is: 65,675.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,831.76 : 118,446.60 = 47,591.38 : x
  2. Step 2: Convert to fraction form
    85,831.76/118,446.60 = 47,591.38/x
  3. Step 3: Cross multiply
    85,831.76x = 118,446.60 × 47,591.38
  4. Step 4: Simplify right side
    85,831.76x = 5,637,037,476.83
  5. Step 5: Solve for x
    x = 5,637,037,476.83/85,831.76
  6. Step 6: Final answer
    x = 65,675.43

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Why These Related Problems?

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