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Finding the Fourth Proportional to 172,551.46, 258,870.16 and 137,146.36

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Solution

The fourth proportional to 172,551.46, 258,870.16 and 137,146.36 is: 205,753.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,551.46 : 258,870.16 = 137,146.36 : x
  2. Step 2: Convert to fraction form
    172,551.46/258,870.16 = 137,146.36/x
  3. Step 3: Cross multiply
    172,551.46x = 258,870.16 × 137,146.36
  4. Step 4: Simplify right side
    172,551.46x = 35,503,100,156.62
  5. Step 5: Solve for x
    x = 35,503,100,156.62/172,551.46
  6. Step 6: Final answer
    x = 205,753.69

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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.