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Finding the Fourth Proportional to 101,710.20, 152,273.70 and 78,187.80

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Solution

The fourth proportional to 101,710.20, 152,273.70 and 78,187.80 is: 117,057.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.20 : 152,273.70 = 78,187.80 : x
  2. Step 2: Convert to fraction form
    101,710.20/152,273.70 = 78,187.80/x
  3. Step 3: Cross multiply
    101,710.20x = 152,273.70 × 78,187.80
  4. Step 4: Simplify right side
    101,710.20x = 11,905,945,600.86
  5. Step 5: Solve for x
    x = 11,905,945,600.86/101,710.20
  6. Step 6: Final answer
    x = 117,057.54

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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.