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Finding the Fourth Proportional to 102,131.70, 140,939.70 and 56,808.71

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Solution

The fourth proportional to 102,131.70, 140,939.70 and 56,808.71 is: 78,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,131.70 : 140,939.70 = 56,808.71 : x
  2. Step 2: Convert to fraction form
    102,131.70/140,939.70 = 56,808.71/x
  3. Step 3: Cross multiply
    102,131.70x = 140,939.70 × 56,808.71
  4. Step 4: Simplify right side
    102,131.70x = 8,006,601,840.09
  5. Step 5: Solve for x
    x = 8,006,601,840.09/102,131.70
  6. Step 6: Final answer
    x = 78,394.87

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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.