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Finding the Fourth Proportional to 172,154.57, 258,246.74 and 47,495.57

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Solution

The fourth proportional to 172,154.57, 258,246.74 and 47,495.57 is: 71,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,154.57 : 258,246.74 = 47,495.57 : x
  2. Step 2: Convert to fraction form
    172,154.57/258,246.74 = 47,495.57/x
  3. Step 3: Cross multiply
    172,154.57x = 258,246.74 × 47,495.57
  4. Step 4: Simplify right side
    172,154.57x = 12,265,576,116.94
  5. Step 5: Solve for x
    x = 12,265,576,116.94/172,154.57
  6. Step 6: Final answer
    x = 71,247.46

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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.