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Finding the Fourth Proportional to 219,017.20, 328,282.80 and 85,853.20

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Solution

The fourth proportional to 219,017.20, 328,282.80 and 85,853.20 is: 128,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,017.20 : 328,282.80 = 85,853.20 : x
  2. Step 2: Convert to fraction form
    219,017.20/328,282.80 = 85,853.20/x
  3. Step 3: Cross multiply
    219,017.20x = 328,282.80 × 85,853.20
  4. Step 4: Simplify right side
    219,017.20x = 28,184,128,884.96
  5. Step 5: Solve for x
    x = 28,184,128,884.96/219,017.20
  6. Step 6: Final answer
    x = 128,684.55

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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.