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Finding the Fourth Proportional to 115,068.72, 158,843.97 and 77,364.84

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Solution

The fourth proportional to 115,068.72, 158,843.97 and 77,364.84 is: 106,796.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,068.72 : 158,843.97 = 77,364.84 : x
  2. Step 2: Convert to fraction form
    115,068.72/158,843.97 = 77,364.84/x
  3. Step 3: Cross multiply
    115,068.72x = 158,843.97 × 77,364.84
  4. Step 4: Simplify right side
    115,068.72x = 12,288,938,324.01
  5. Step 5: Solve for x
    x = 12,288,938,324.01/115,068.72
  6. Step 6: Final answer
    x = 106,796.52

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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.