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Finding the Fourth Proportional to 85,911.53, 118,564.39 and 47,678.29

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Solution

The fourth proportional to 85,911.53, 118,564.39 and 47,678.29 is: 65,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,911.53 : 118,564.39 = 47,678.29 : x
  2. Step 2: Convert to fraction form
    85,911.53/118,564.39 = 47,678.29/x
  3. Step 3: Cross multiply
    85,911.53x = 118,564.39 × 47,678.29
  4. Step 4: Simplify right side
    85,911.53x = 5,652,947,370.09
  5. Step 5: Solve for x
    x = 5,652,947,370.09/85,911.53
  6. Step 6: Final answer
    x = 65,799.64

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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.