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Finding the Fourth Proportional to 219,206.62, 328,612.47 and 78,866.50

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Solution

The fourth proportional to 219,206.62, 328,612.47 and 78,866.50 is: 118,228.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,206.62 : 328,612.47 = 78,866.50 : x
  2. Step 2: Convert to fraction form
    219,206.62/328,612.47 = 78,866.50/x
  3. Step 3: Cross multiply
    219,206.62x = 328,612.47 × 78,866.50
  4. Step 4: Simplify right side
    219,206.62x = 25,916,515,365.26
  5. Step 5: Solve for x
    x = 25,916,515,365.26/219,206.62
  6. Step 6: Final answer
    x = 118,228.71

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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.