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Finding the Fourth Proportional to 85,914.82, 118,523.61 and 55,707.79

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Solution

The fourth proportional to 85,914.82, 118,523.61 and 55,707.79 is: 76,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,914.82 : 118,523.61 = 55,707.79 : x
  2. Step 2: Convert to fraction form
    85,914.82/118,523.61 = 55,707.79/x
  3. Step 3: Cross multiply
    85,914.82x = 118,523.61 × 55,707.79
  4. Step 4: Simplify right side
    85,914.82x = 6,602,688,375.92
  5. Step 5: Solve for x
    x = 6,602,688,375.92/85,914.82
  6. Step 6: Final answer
    x = 76,851.57

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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.