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Finding the Fourth Proportional to 225,097.78, 337,647.24 and 91,978.03

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Solution

The fourth proportional to 225,097.78, 337,647.24 and 91,978.03 is: 137,967.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,097.78 : 337,647.24 = 91,978.03 : x
  2. Step 2: Convert to fraction form
    225,097.78/337,647.24 = 91,978.03/x
  3. Step 3: Cross multiply
    225,097.78x = 337,647.24 × 91,978.03
  4. Step 4: Simplify right side
    225,097.78x = 31,056,127,970.14
  5. Step 5: Solve for x
    x = 31,056,127,970.14/225,097.78
  6. Step 6: Final answer
    x = 137,967.28

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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.