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Finding the Fourth Proportional to 137,454.40, 205,874.40 and 106,043.20

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Solution

The fourth proportional to 137,454.40, 205,874.40 and 106,043.20 is: 158,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,454.40 : 205,874.40 = 106,043.20 : x
  2. Step 2: Convert to fraction form
    137,454.40/205,874.40 = 106,043.20/x
  3. Step 3: Cross multiply
    137,454.40x = 205,874.40 × 106,043.20
  4. Step 4: Simplify right side
    137,454.40x = 21,831,580,174.08
  5. Step 5: Solve for x
    x = 21,831,580,174.08/137,454.40
  6. Step 6: Final answer
    x = 158,827.80

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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.