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Finding the Fourth Proportional to 229,785.68, 316,974.80 and 137,881.22

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Solution

The fourth proportional to 229,785.68, 316,974.80 and 137,881.22 is: 190,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,785.68 : 316,974.80 = 137,881.22 : x
  2. Step 2: Convert to fraction form
    229,785.68/316,974.80 = 137,881.22/x
  3. Step 3: Cross multiply
    229,785.68x = 316,974.80 × 137,881.22
  4. Step 4: Simplify right side
    229,785.68x = 43,704,870,893.09
  5. Step 5: Solve for x
    x = 43,704,870,893.09/229,785.68
  6. Step 6: Final answer
    x = 190,198.41

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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.