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Finding the Fourth Proportional to 137,235.40, 205,801.90 and 54,112.20

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Solution

The fourth proportional to 137,235.40, 205,801.90 and 54,112.20 is: 81,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,235.40 : 205,801.90 = 54,112.20 : x
  2. Step 2: Convert to fraction form
    137,235.40/205,801.90 = 54,112.20/x
  3. Step 3: Cross multiply
    137,235.40x = 205,801.90 × 54,112.20
  4. Step 4: Simplify right side
    137,235.40x = 11,136,393,573.18
  5. Step 5: Solve for x
    x = 11,136,393,573.18/137,235.40
  6. Step 6: Final answer
    x = 81,148.11

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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.