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Finding the Fourth Proportional to 101,308.85, 151,827.44 and 78,846.66

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Solution

The fourth proportional to 101,308.85, 151,827.44 and 78,846.66 is: 118,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,308.85 : 151,827.44 = 78,846.66 : x
  2. Step 2: Convert to fraction form
    101,308.85/151,827.44 = 78,846.66/x
  3. Step 3: Cross multiply
    101,308.85x = 151,827.44 × 78,846.66
  4. Step 4: Simplify right side
    101,308.85x = 11,971,086,737.47
  5. Step 5: Solve for x
    x = 11,971,086,737.47/101,308.85
  6. Step 6: Final answer
    x = 118,164.27

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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.