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Finding the Fourth Proportional to 115,640.67, 159,584.39 and 64,655.22

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Solution

The fourth proportional to 115,640.67, 159,584.39 and 64,655.22 is: 89,224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,640.67 : 159,584.39 = 64,655.22 : x
  2. Step 2: Convert to fraction form
    115,640.67/159,584.39 = 64,655.22/x
  3. Step 3: Cross multiply
    115,640.67x = 159,584.39 × 64,655.22
  4. Step 4: Simplify right side
    115,640.67x = 10,317,963,844.02
  5. Step 5: Solve for x
    x = 10,317,963,844.02/115,640.67
  6. Step 6: Final answer
    x = 89,224.35

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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.