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Finding the Fourth Proportional to 212,005, 318,008.04 and 64,261

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Solution

The fourth proportional to 212,005, 318,008.04 and 64,261 is: 96,391.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,005 : 318,008.04 = 64,261 : x
  2. Step 2: Convert to fraction form
    212,005/318,008.04 = 64,261/x
  3. Step 3: Cross multiply
    212,005x = 318,008.04 × 64,261
  4. Step 4: Simplify right side
    212,005x = 20,435,514,658.44
  5. Step 5: Solve for x
    x = 20,435,514,658.44/212,005
  6. Step 6: Final answer
    x = 96,391.66

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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.