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Finding the Fourth Proportional to 84,894.26, 117,109.81 and 57,660.66

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Solution

The fourth proportional to 84,894.26, 117,109.81 and 57,660.66 is: 79,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,894.26 : 117,109.81 = 57,660.66 : x
  2. Step 2: Convert to fraction form
    84,894.26/117,109.81 = 57,660.66/x
  3. Step 3: Cross multiply
    84,894.26x = 117,109.81 × 57,660.66
  4. Step 4: Simplify right side
    84,894.26x = 6,752,628,937.07
  5. Step 5: Solve for x
    x = 6,752,628,937.07/84,894.26
  6. Step 6: Final answer
    x = 79,541.64

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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.