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Finding the Fourth Proportional to 229,426.10, 316,629.42 and 138,804.33

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Solution

The fourth proportional to 229,426.10, 316,629.42 and 138,804.33 is: 191,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,426.10 : 316,629.42 = 138,804.33 : x
  2. Step 2: Convert to fraction form
    229,426.10/316,629.42 = 138,804.33/x
  3. Step 3: Cross multiply
    229,426.10x = 316,629.42 × 138,804.33
  4. Step 4: Simplify right side
    229,426.10x = 43,949,535,363.43
  5. Step 5: Solve for x
    x = 43,949,535,363.43/229,426.10
  6. Step 6: Final answer
    x = 191,562.93

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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.