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Finding the Fourth Proportional to 136,954.40, 205,415.40 and 37,108.40

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Solution

The fourth proportional to 136,954.40, 205,415.40 and 37,108.40 is: 55,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,954.40 : 205,415.40 = 37,108.40 : x
  2. Step 2: Convert to fraction form
    136,954.40/205,415.40 = 37,108.40/x
  3. Step 3: Cross multiply
    136,954.40x = 205,415.40 × 37,108.40
  4. Step 4: Simplify right side
    136,954.40x = 7,622,636,829.36
  5. Step 5: Solve for x
    x = 7,622,636,829.36/136,954.40
  6. Step 6: Final answer
    x = 55,658.21

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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.