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Finding the Fourth Proportional to 219,101.80, 328,782.30 and 78,842.20

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Solution

The fourth proportional to 219,101.80, 328,782.30 and 78,842.20 is: 118,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,101.80 : 328,782.30 = 78,842.20 : x
  2. Step 2: Convert to fraction form
    219,101.80/328,782.30 = 78,842.20/x
  3. Step 3: Cross multiply
    219,101.80x = 328,782.30 × 78,842.20
  4. Step 4: Simplify right side
    219,101.80x = 25,921,919,853.06
  5. Step 5: Solve for x
    x = 25,921,919,853.06/219,101.80
  6. Step 6: Final answer
    x = 118,309.94

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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.