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Finding the Fourth Proportional to 230,398.50, 317,949.93 and 129,796.50

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Solution

The fourth proportional to 230,398.50, 317,949.93 and 129,796.50 is: 179,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,398.50 : 317,949.93 = 129,796.50 : x
  2. Step 2: Convert to fraction form
    230,398.50/317,949.93 = 129,796.50/x
  3. Step 3: Cross multiply
    230,398.50x = 317,949.93 × 129,796.50
  4. Step 4: Simplify right side
    230,398.50x = 41,268,788,089.25
  5. Step 5: Solve for x
    x = 41,268,788,089.25/230,398.50
  6. Step 6: Final answer
    x = 179,119.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.