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Finding the Fourth Proportional to 217,872.84, 326,730.96 and 77,603.52

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Solution

The fourth proportional to 217,872.84, 326,730.96 and 77,603.52 is: 116,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,872.84 : 326,730.96 = 77,603.52 : x
  2. Step 2: Convert to fraction form
    217,872.84/326,730.96 = 77,603.52/x
  3. Step 3: Cross multiply
    217,872.84x = 326,730.96 × 77,603.52
  4. Step 4: Simplify right side
    217,872.84x = 25,355,472,588.98
  5. Step 5: Solve for x
    x = 25,355,472,588.98/217,872.84
  6. Step 6: Final answer
    x = 116,377.39

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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.