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Finding the Fourth Proportional to 172,494.88, 258,724.12 and 46,147.88

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Solution

The fourth proportional to 172,494.88, 258,724.12 and 46,147.88 is: 69,216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,494.88 : 258,724.12 = 46,147.88 : x
  2. Step 2: Convert to fraction form
    172,494.88/258,724.12 = 46,147.88/x
  3. Step 3: Cross multiply
    172,494.88x = 258,724.12 × 46,147.88
  4. Step 4: Simplify right side
    172,494.88x = 11,939,569,642.87
  5. Step 5: Solve for x
    x = 11,939,569,642.87/172,494.88
  6. Step 6: Final answer
    x = 69,216.95

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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.