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Finding the Fourth Proportional to 207,101.80, 310,215.30 and 172,109.80

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Solution

The fourth proportional to 207,101.80, 310,215.30 and 172,109.80 is: 257,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,101.80 : 310,215.30 = 172,109.80 : x
  2. Step 2: Convert to fraction form
    207,101.80/310,215.30 = 172,109.80/x
  3. Step 3: Cross multiply
    207,101.80x = 310,215.30 × 172,109.80
  4. Step 4: Simplify right side
    207,101.80x = 53,391,093,239.94
  5. Step 5: Solve for x
    x = 53,391,093,239.94/207,101.80
  6. Step 6: Final answer
    x = 257,801.20

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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.