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Finding the Fourth Proportional to 140,790.99, 194,296.52 and 77,128.79

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Solution

The fourth proportional to 140,790.99, 194,296.52 and 77,128.79 is: 106,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,790.99 : 194,296.52 = 77,128.79 : x
  2. Step 2: Convert to fraction form
    140,790.99/194,296.52 = 77,128.79/x
  3. Step 3: Cross multiply
    140,790.99x = 194,296.52 × 77,128.79
  4. Step 4: Simplify right side
    140,790.99x = 14,985,854,131.68
  5. Step 5: Solve for x
    x = 14,985,854,131.68/140,790.99
  6. Step 6: Final answer
    x = 106,440.43

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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.