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Finding the Fourth Proportional to 115,163.52, 172,640.03 and 97,507.94

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Solution

The fourth proportional to 115,163.52, 172,640.03 and 97,507.94 is: 146,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,163.52 : 172,640.03 = 97,507.94 : x
  2. Step 2: Convert to fraction form
    115,163.52/172,640.03 = 97,507.94/x
  3. Step 3: Cross multiply
    115,163.52x = 172,640.03 × 97,507.94
  4. Step 4: Simplify right side
    115,163.52x = 16,833,772,336.10
  5. Step 5: Solve for x
    x = 16,833,772,336.10/115,163.52
  6. Step 6: Final answer
    x = 146,172.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.