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Finding the Fourth Proportional to 139,857.27, 193,213.94 and 112,953.08

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Solution

The fourth proportional to 139,857.27, 193,213.94 and 112,953.08 is: 156,045.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,857.27 : 193,213.94 = 112,953.08 : x
  2. Step 2: Convert to fraction form
    139,857.27/193,213.94 = 112,953.08/x
  3. Step 3: Cross multiply
    139,857.27x = 193,213.94 × 112,953.08
  4. Step 4: Simplify right side
    139,857.27x = 21,824,108,091.10
  5. Step 5: Solve for x
    x = 21,824,108,091.10/139,857.27
  6. Step 6: Final answer
    x = 156,045.57

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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.