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Finding the Fourth Proportional to 172,411.30, 258,463.05 and 67,205.80

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Solution

The fourth proportional to 172,411.30, 258,463.05 and 67,205.80 is: 100,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,411.30 : 258,463.05 = 67,205.80 : x
  2. Step 2: Convert to fraction form
    172,411.30/258,463.05 = 67,205.80/x
  3. Step 3: Cross multiply
    172,411.30x = 258,463.05 × 67,205.80
  4. Step 4: Simplify right side
    172,411.30x = 17,370,216,045.69
  5. Step 5: Solve for x
    x = 17,370,216,045.69/172,411.30
  6. Step 6: Final answer
    x = 100,748.71

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1.5x scale

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.