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Finding the Fourth Proportional to 172,419.40, 258,629.40 and 54,099.82

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Solution

The fourth proportional to 172,419.40, 258,629.40 and 54,099.82 is: 81,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,419.40 : 258,629.40 = 54,099.82 : x
  2. Step 2: Convert to fraction form
    172,419.40/258,629.40 = 54,099.82/x
  3. Step 3: Cross multiply
    172,419.40x = 258,629.40 × 54,099.82
  4. Step 4: Simplify right side
    172,419.40x = 13,991,803,986.71
  5. Step 5: Solve for x
    x = 13,991,803,986.71/172,419.40
  6. Step 6: Final answer
    x = 81,149.82

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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.