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Finding the Fourth Proportional to 153,766.91, 212,198.42 and 85,783.88

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Solution

The fourth proportional to 153,766.91, 212,198.42 and 85,783.88 is: 118,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,766.91 : 212,198.42 = 85,783.88 : x
  2. Step 2: Convert to fraction form
    153,766.91/212,198.42 = 85,783.88/x
  3. Step 3: Cross multiply
    153,766.91x = 212,198.42 × 85,783.88
  4. Step 4: Simplify right side
    153,766.91x = 18,203,203,797.47
  5. Step 5: Solve for x
    x = 18,203,203,797.47/153,766.91
  6. Step 6: Final answer
    x = 118,381.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.