Home / 208,054.24-312,141.84-74,932

Finding the Fourth Proportional to 208,054.24, 312,141.84 and 74,932

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Solution

The fourth proportional to 208,054.24, 312,141.84 and 74,932 is: 112,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,054.24 : 312,141.84 = 74,932 : x
  2. Step 2: Convert to fraction form
    208,054.24/312,141.84 = 74,932/x
  3. Step 3: Cross multiply
    208,054.24x = 312,141.84 × 74,932
  4. Step 4: Simplify right side
    208,054.24x = 23,389,412,354.88
  5. Step 5: Solve for x
    x = 23,389,412,354.88/208,054.24
  6. Step 6: Final answer
    x = 112,419.78

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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.