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Finding the Fourth Proportional to 218,838.43, 328,164.67 and 85,697.51

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Solution

The fourth proportional to 218,838.43, 328,164.67 and 85,697.51 is: 128,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,838.43 : 328,164.67 = 85,697.51 : x
  2. Step 2: Convert to fraction form
    218,838.43/328,164.67 = 85,697.51/x
  3. Step 3: Cross multiply
    218,838.43x = 328,164.67 × 85,697.51
  4. Step 4: Simplify right side
    218,838.43x = 28,122,894,919.15
  5. Step 5: Solve for x
    x = 28,122,894,919.15/218,838.43
  6. Step 6: Final answer
    x = 128,509.86

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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.