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Finding the Fourth Proportional to 219,047.20, 328,327.80 and 85,883.20

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Solution

The fourth proportional to 219,047.20, 328,327.80 and 85,883.20 is: 128,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,047.20 : 328,327.80 = 85,883.20 : x
  2. Step 2: Convert to fraction form
    219,047.20/328,327.80 = 85,883.20/x
  3. Step 3: Cross multiply
    219,047.20x = 328,327.80 × 85,883.20
  4. Step 4: Simplify right side
    219,047.20x = 28,197,842,112.96
  5. Step 5: Solve for x
    x = 28,197,842,112.96/219,047.20
  6. Step 6: Final answer
    x = 128,729.53

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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.