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Finding the Fourth Proportional to 139,205.64, 192,101.74 and 81,851.44

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Solution

The fourth proportional to 139,205.64, 192,101.74 and 81,851.44 is: 112,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,205.64 : 192,101.74 = 81,851.44 : x
  2. Step 2: Convert to fraction form
    139,205.64/192,101.74 = 81,851.44/x
  3. Step 3: Cross multiply
    139,205.64x = 192,101.74 × 81,851.44
  4. Step 4: Simplify right side
    139,205.64x = 15,723,804,045.51
  5. Step 5: Solve for x
    x = 15,723,804,045.51/139,205.64
  6. Step 6: Final answer
    x = 112,953.79

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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.