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Finding the Fourth Proportional to 219,113.70, 328,573.35 and 100,821.30

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Solution

The fourth proportional to 219,113.70, 328,573.35 and 100,821.30 is: 151,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,113.70 : 328,573.35 = 100,821.30 : x
  2. Step 2: Convert to fraction form
    219,113.70/328,573.35 = 100,821.30/x
  3. Step 3: Cross multiply
    219,113.70x = 328,573.35 × 100,821.30
  4. Step 4: Simplify right side
    219,113.70x = 33,127,192,292.36
  5. Step 5: Solve for x
    x = 33,127,192,292.36/219,113.70
  6. Step 6: Final answer
    x = 151,187.23

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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.