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Finding the Fourth Proportional to 219,235.30, 328,743.60 and 100,772.80

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Solution

The fourth proportional to 219,235.30, 328,743.60 and 100,772.80 is: 151,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,235.30 : 328,743.60 = 100,772.80 : x
  2. Step 2: Convert to fraction form
    219,235.30/328,743.60 = 100,772.80/x
  3. Step 3: Cross multiply
    219,235.30x = 328,743.60 × 100,772.80
  4. Step 4: Simplify right side
    219,235.30x = 33,128,413,054.08
  5. Step 5: Solve for x
    x = 33,128,413,054.08/219,235.30
  6. Step 6: Final answer
    x = 151,108.94

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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.