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Finding the Fourth Proportional to 208,318.76, 312,478.56 and 75,292.96

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Solution

The fourth proportional to 208,318.76, 312,478.56 and 75,292.96 is: 112,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,318.76 : 312,478.56 = 75,292.96 : x
  2. Step 2: Convert to fraction form
    208,318.76/312,478.56 = 75,292.96/x
  3. Step 3: Cross multiply
    208,318.76x = 312,478.56 × 75,292.96
  4. Step 4: Simplify right side
    208,318.76x = 23,527,435,718.94
  5. Step 5: Solve for x
    x = 23,527,435,718.94/208,318.76
  6. Step 6: Final answer
    x = 112,939.59

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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.