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Finding the Fourth Proportional to 115,855.31, 159,859.17 and 64,868.85

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Solution

The fourth proportional to 115,855.31, 159,859.17 and 64,868.85 is: 89,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,855.31 : 159,859.17 = 64,868.85 : x
  2. Step 2: Convert to fraction form
    115,855.31/159,859.17 = 64,868.85/x
  3. Step 3: Cross multiply
    115,855.31x = 159,859.17 × 64,868.85
  4. Step 4: Simplify right side
    115,855.31x = 10,369,880,519.85
  5. Step 5: Solve for x
    x = 10,369,880,519.85/115,855.31
  6. Step 6: Final answer
    x = 89,507.16

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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.