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Finding the Fourth Proportional to 208,079.55, 312,121.97 and 73,138.17

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Solution

The fourth proportional to 208,079.55, 312,121.97 and 73,138.17 is: 109,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,079.55 : 312,121.97 = 73,138.17 : x
  2. Step 2: Convert to fraction form
    208,079.55/312,121.97 = 73,138.17/x
  3. Step 3: Cross multiply
    208,079.55x = 312,121.97 × 73,138.17
  4. Step 4: Simplify right side
    208,079.55x = 22,828,029,702.59
  5. Step 5: Solve for x
    x = 22,828,029,702.59/208,079.55
  6. Step 6: Final answer
    x = 109,708.18

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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.