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Finding the Fourth Proportional to 140,755.91, 194,243.20 and 77,094.77

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Solution

The fourth proportional to 140,755.91, 194,243.20 and 77,094.77 is: 106,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,755.91 : 194,243.20 = 77,094.77 : x
  2. Step 2: Convert to fraction form
    140,755.91/194,243.20 = 77,094.77/x
  3. Step 3: Cross multiply
    140,755.91x = 194,243.20 × 77,094.77
  4. Step 4: Simplify right side
    140,755.91x = 14,975,133,664.11
  5. Step 5: Solve for x
    x = 14,975,133,664.11/140,755.91
  6. Step 6: Final answer
    x = 106,390.80

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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.