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Finding the Fourth Proportional to 137,878.81, 206,818.38 and 43,109.51

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Solution

The fourth proportional to 137,878.81, 206,818.38 and 43,109.51 is: 64,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,878.81 : 206,818.38 = 43,109.51 : x
  2. Step 2: Convert to fraction form
    137,878.81/206,818.38 = 43,109.51/x
  3. Step 3: Cross multiply
    137,878.81x = 206,818.38 × 43,109.51
  4. Step 4: Simplify right side
    137,878.81x = 8,915,837,986.70
  5. Step 5: Solve for x
    x = 8,915,837,986.70/137,878.81
  6. Step 6: Final answer
    x = 64,664.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.