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Finding the Fourth Proportional to 172,707.80, 258,624.30 and 137,715.80

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Solution

The fourth proportional to 172,707.80, 258,624.30 and 137,715.80 is: 206,224.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,707.80 : 258,624.30 = 137,715.80 : x
  2. Step 2: Convert to fraction form
    172,707.80/258,624.30 = 137,715.80/x
  3. Step 3: Cross multiply
    172,707.80x = 258,624.30 × 137,715.80
  4. Step 4: Simplify right side
    172,707.80x = 35,616,652,373.94
  5. Step 5: Solve for x
    x = 35,616,652,373.94/172,707.80
  6. Step 6: Final answer
    x = 206,224.92

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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.