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Finding the Fourth Proportional to 115,146, 172,728.90 and 32,040

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Solution

The fourth proportional to 115,146, 172,728.90 and 32,040 is: 48,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,146 : 172,728.90 = 32,040 : x
  2. Step 2: Convert to fraction form
    115,146/172,728.90 = 32,040/x
  3. Step 3: Cross multiply
    115,146x = 172,728.90 × 32,040
  4. Step 4: Simplify right side
    115,146x = 5,534,233,956
  5. Step 5: Solve for x
    x = 5,534,233,956/115,146
  6. Step 6: Final answer
    x = 48,062.75

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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.