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Finding the Fourth Proportional to 115,803.78, 159,797.92 and 64,813.48

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Solution

The fourth proportional to 115,803.78, 159,797.92 and 64,813.48 is: 89,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,803.78 : 159,797.92 = 64,813.48 : x
  2. Step 2: Convert to fraction form
    115,803.78/159,797.92 = 64,813.48/x
  3. Step 3: Cross multiply
    115,803.78x = 159,797.92 × 64,813.48
  4. Step 4: Simplify right side
    115,803.78x = 10,357,059,291.96
  5. Step 5: Solve for x
    x = 10,357,059,291.96/115,803.78
  6. Step 6: Final answer
    x = 89,436.28

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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.