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Finding the Fourth Proportional to 139,846.76, 193,002.48 and 85,395.93

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Solution

The fourth proportional to 139,846.76, 193,002.48 and 85,395.93 is: 117,854.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,846.76 : 193,002.48 = 85,395.93 : x
  2. Step 2: Convert to fraction form
    139,846.76/193,002.48 = 85,395.93/x
  3. Step 3: Cross multiply
    139,846.76x = 193,002.48 × 85,395.93
  4. Step 4: Simplify right side
    139,846.76x = 16,481,625,844.93
  5. Step 5: Solve for x
    x = 16,481,625,844.93/139,846.76
  6. Step 6: Final answer
    x = 117,854.90

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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.