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Finding the Fourth Proportional to 172,738.48, 259,117.01 and 54,419.08

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Solution

The fourth proportional to 172,738.48, 259,117.01 and 54,419.08 is: 81,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,738.48 : 259,117.01 = 54,419.08 : x
  2. Step 2: Convert to fraction form
    172,738.48/259,117.01 = 54,419.08/x
  3. Step 3: Cross multiply
    172,738.48x = 259,117.01 × 54,419.08
  4. Step 4: Simplify right side
    172,738.48x = 14,100,909,296.55
  5. Step 5: Solve for x
    x = 14,100,909,296.55/172,738.48
  6. Step 6: Final answer
    x = 81,631.55

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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.