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Finding the Fourth Proportional to 115,963.50, 160,029.63 and 65,662.50

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Solution

The fourth proportional to 115,963.50, 160,029.63 and 65,662.50 is: 90,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,963.50 : 160,029.63 = 65,662.50 : x
  2. Step 2: Convert to fraction form
    115,963.50/160,029.63 = 65,662.50/x
  3. Step 3: Cross multiply
    115,963.50x = 160,029.63 × 65,662.50
  4. Step 4: Simplify right side
    115,963.50x = 10,507,945,579.88
  5. Step 5: Solve for x
    x = 10,507,945,579.88/115,963.50
  6. Step 6: Final answer
    x = 90,614.25

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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.