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Finding the Fourth Proportional to 219,139.20, 328,612.80 and 100,771.20

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Solution

The fourth proportional to 219,139.20, 328,612.80 and 100,771.20 is: 151,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,139.20 : 328,612.80 = 100,771.20 : x
  2. Step 2: Convert to fraction form
    219,139.20/328,612.80 = 100,771.20/x
  3. Step 3: Cross multiply
    219,139.20x = 328,612.80 × 100,771.20
  4. Step 4: Simplify right side
    219,139.20x = 33,114,706,191.36
  5. Step 5: Solve for x
    x = 33,114,706,191.36/219,139.20
  6. Step 6: Final answer
    x = 151,112.65

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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.