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Finding the Fourth Proportional to 208,059.92, 312,016.07 and 74,904.42

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Solution

The fourth proportional to 208,059.92, 312,016.07 and 74,904.42 is: 112,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.92 : 312,016.07 = 74,904.42 : x
  2. Step 2: Convert to fraction form
    208,059.92/312,016.07 = 74,904.42/x
  3. Step 3: Cross multiply
    208,059.92x = 312,016.07 × 74,904.42
  4. Step 4: Simplify right side
    208,059.92x = 23,371,382,379.51
  5. Step 5: Solve for x
    x = 23,371,382,379.51/208,059.92
  6. Step 6: Final answer
    x = 112,330.06

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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.