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Finding the Fourth Proportional to 102,010.70, 140,765.81 and 56,685.81

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Solution

The fourth proportional to 102,010.70, 140,765.81 and 56,685.81 is: 78,221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,010.70 : 140,765.81 = 56,685.81 : x
  2. Step 2: Convert to fraction form
    102,010.70/140,765.81 = 56,685.81/x
  3. Step 3: Cross multiply
    102,010.70x = 140,765.81 × 56,685.81
  4. Step 4: Simplify right side
    102,010.70x = 7,979,423,676.73
  5. Step 5: Solve for x
    x = 7,979,423,676.73/102,010.70
  6. Step 6: Final answer
    x = 78,221.44

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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.