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Finding the Fourth Proportional to 234,202, 351,312.72 and 67,990

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Solution

The fourth proportional to 234,202, 351,312.72 and 67,990 is: 101,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,202 : 351,312.72 = 67,990 : x
  2. Step 2: Convert to fraction form
    234,202/351,312.72 = 67,990/x
  3. Step 3: Cross multiply
    234,202x = 351,312.72 × 67,990
  4. Step 4: Simplify right side
    234,202x = 23,885,751,832.80
  5. Step 5: Solve for x
    x = 23,885,751,832.80/234,202
  6. Step 6: Final answer
    x = 101,987.82

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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.