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Finding the Fourth Proportional to 218,784.78, 328,045.82 and 85,506.17

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Solution

The fourth proportional to 218,784.78, 328,045.82 and 85,506.17 is: 128,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,784.78 : 328,045.82 = 85,506.17 : x
  2. Step 2: Convert to fraction form
    218,784.78/328,045.82 = 85,506.17/x
  3. Step 3: Cross multiply
    218,784.78x = 328,045.82 × 85,506.17
  4. Step 4: Simplify right side
    218,784.78x = 28,049,939,584.95
  5. Step 5: Solve for x
    x = 28,049,939,584.95/218,784.78
  6. Step 6: Final answer
    x = 128,207.91

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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.