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Finding the Fourth Proportional to 230,429.80, 345,126.30 and 137,117.80

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Solution

The fourth proportional to 230,429.80, 345,126.30 and 137,117.80 is: 205,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,429.80 : 345,126.30 = 137,117.80 : x
  2. Step 2: Convert to fraction form
    230,429.80/345,126.30 = 137,117.80/x
  3. Step 3: Cross multiply
    230,429.80x = 345,126.30 × 137,117.80
  4. Step 4: Simplify right side
    230,429.80x = 47,322,958,978.14
  5. Step 5: Solve for x
    x = 47,322,958,978.14/230,429.80
  6. Step 6: Final answer
    x = 205,368.22

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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.