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Finding the Fourth Proportional to 137,905.90, 206,907.45 and 133,045.90

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Solution

The fourth proportional to 137,905.90, 206,907.45 and 133,045.90 is: 199,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,905.90 : 206,907.45 = 133,045.90 : x
  2. Step 2: Convert to fraction form
    137,905.90/206,907.45 = 133,045.90/x
  3. Step 3: Cross multiply
    137,905.90x = 206,907.45 × 133,045.90
  4. Step 4: Simplify right side
    137,905.90x = 27,528,187,901.96
  5. Step 5: Solve for x
    x = 27,528,187,901.96/137,905.90
  6. Step 6: Final answer
    x = 199,615.74

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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.