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Finding the Fourth Proportional to 137,131.70, 205,712.67 and 43,615.58

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Solution

The fourth proportional to 137,131.70, 205,712.67 and 43,615.58 is: 65,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,131.70 : 205,712.67 = 43,615.58 : x
  2. Step 2: Convert to fraction form
    137,131.70/205,712.67 = 43,615.58/x
  3. Step 3: Cross multiply
    137,131.70x = 205,712.67 × 43,615.58
  4. Step 4: Simplify right side
    137,131.70x = 8,972,277,415.40
  5. Step 5: Solve for x
    x = 8,972,277,415.40/137,131.70
  6. Step 6: Final answer
    x = 65,428.18

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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.