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Finding the Fourth Proportional to 137,661.30, 206,567.21 and 53,424.81

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Solution

The fourth proportional to 137,661.30, 206,567.21 and 53,424.81 is: 80,166.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,661.30 : 206,567.21 = 53,424.81 : x
  2. Step 2: Convert to fraction form
    137,661.30/206,567.21 = 53,424.81/x
  3. Step 3: Cross multiply
    137,661.30x = 206,567.21 × 53,424.81
  4. Step 4: Simplify right side
    137,661.30x = 11,035,814,080.04
  5. Step 5: Solve for x
    x = 11,035,814,080.04/137,661.30
  6. Step 6: Final answer
    x = 80,166.42

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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.