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Finding the Fourth Proportional to 137,643.38, 206,425.40 and 37,806.83

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Solution

The fourth proportional to 137,643.38, 206,425.40 and 37,806.83 is: 56,699.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,643.38 : 206,425.40 = 37,806.83 : x
  2. Step 2: Convert to fraction form
    137,643.38/206,425.40 = 37,806.83/x
  3. Step 3: Cross multiply
    137,643.38x = 206,425.40 × 37,806.83
  4. Step 4: Simplify right side
    137,643.38x = 7,804,288,784.32
  5. Step 5: Solve for x
    x = 7,804,288,784.32/137,643.38
  6. Step 6: Final answer
    x = 56,699.34

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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.