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Finding the Fourth Proportional to 172,094.01, 258,052.38 and 77,242.88

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Solution

The fourth proportional to 172,094.01, 258,052.38 and 77,242.88 is: 115,824.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,094.01 : 258,052.38 = 77,242.88 : x
  2. Step 2: Convert to fraction form
    172,094.01/258,052.38 = 77,242.88/x
  3. Step 3: Cross multiply
    172,094.01x = 258,052.38 × 77,242.88
  4. Step 4: Simplify right side
    172,094.01x = 19,932,709,022.05
  5. Step 5: Solve for x
    x = 19,932,709,022.05/172,094.01
  6. Step 6: Final answer
    x = 115,824.54

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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.