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Finding the Fourth Proportional to 137,433.36, 206,018.82 and 43,878.36

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Solution

The fourth proportional to 137,433.36, 206,018.82 and 43,878.36 is: 65,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,433.36 : 206,018.82 = 43,878.36 : x
  2. Step 2: Convert to fraction form
    137,433.36/206,018.82 = 43,878.36/x
  3. Step 3: Cross multiply
    137,433.36x = 206,018.82 × 43,878.36
  4. Step 4: Simplify right side
    137,433.36x = 9,039,767,950.74
  5. Step 5: Solve for x
    x = 9,039,767,950.74/137,433.36
  6. Step 6: Final answer
    x = 65,775.65

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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.