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Finding the Fourth Proportional to 115,243.88, 158,993.70 and 77,458.28

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Solution

The fourth proportional to 115,243.88, 158,993.70 and 77,458.28 is: 106,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,243.88 : 158,993.70 = 77,458.28 : x
  2. Step 2: Convert to fraction form
    115,243.88/158,993.70 = 77,458.28/x
  3. Step 3: Cross multiply
    115,243.88x = 158,993.70 × 77,458.28
  4. Step 4: Simplify right side
    115,243.88x = 12,315,378,532.84
  5. Step 5: Solve for x
    x = 12,315,378,532.84/115,243.88
  6. Step 6: Final answer
    x = 106,863.62

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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.