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Finding the Fourth Proportional to 115,102, 172,731.30 and 41,230

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Solution

The fourth proportional to 115,102, 172,731.30 and 41,230 is: 61,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,102 : 172,731.30 = 41,230 : x
  2. Step 2: Convert to fraction form
    115,102/172,731.30 = 41,230/x
  3. Step 3: Cross multiply
    115,102x = 172,731.30 × 41,230
  4. Step 4: Simplify right side
    115,102x = 7,121,711,499.00
  5. Step 5: Solve for x
    x = 7,121,711,499.00/115,102
  6. Step 6: Final answer
    x = 61,873.05

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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.