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Finding the Fourth Proportional to 102,012.86, 140,768.78 and 56,687.97

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Solution

The fourth proportional to 102,012.86, 140,768.78 and 56,687.97 is: 78,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,012.86 : 140,768.78 = 56,687.97 : x
  2. Step 2: Convert to fraction form
    102,012.86/140,768.78 = 56,687.97/x
  3. Step 3: Cross multiply
    102,012.86x = 140,768.78 × 56,687.97
  4. Step 4: Simplify right side
    102,012.86x = 7,979,896,094.14
  5. Step 5: Solve for x
    x = 7,979,896,094.14/102,012.86
  6. Step 6: Final answer
    x = 78,224.42

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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.