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Finding the Fourth Proportional to 230,893.77, 345,983.43 and 155,719.29

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Solution

The fourth proportional to 230,893.77, 345,983.43 and 155,719.29 is: 233,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,893.77 : 345,983.43 = 155,719.29 : x
  2. Step 2: Convert to fraction form
    230,893.77/345,983.43 = 155,719.29/x
  3. Step 3: Cross multiply
    230,893.77x = 345,983.43 × 155,719.29
  4. Step 4: Simplify right side
    230,893.77x = 53,876,294,071.36
  5. Step 5: Solve for x
    x = 53,876,294,071.36/230,893.77
  6. Step 6: Final answer
    x = 233,338.02

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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.