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Finding the Fourth Proportional to 218,864.63, 328,382.61 and 85,721.90

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Solution

The fourth proportional to 218,864.63, 328,382.61 and 85,721.90 is: 128,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,864.63 : 328,382.61 = 85,721.90 : x
  2. Step 2: Convert to fraction form
    218,864.63/328,382.61 = 85,721.90/x
  3. Step 3: Cross multiply
    218,864.63x = 328,382.61 × 85,721.90
  4. Step 4: Simplify right side
    218,864.63x = 28,149,579,292.79
  5. Step 5: Solve for x
    x = 28,149,579,292.79/218,864.63
  6. Step 6: Final answer
    x = 128,616.39

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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.