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Finding the Fourth Proportional to 109,185.84, 150,664.86 and 61,438.37

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Solution

The fourth proportional to 109,185.84, 150,664.86 and 61,438.37 is: 84,778.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,185.84 : 150,664.86 = 61,438.37 : x
  2. Step 2: Convert to fraction form
    109,185.84/150,664.86 = 61,438.37/x
  3. Step 3: Cross multiply
    109,185.84x = 150,664.86 × 61,438.37
  4. Step 4: Simplify right side
    109,185.84x = 9,256,602,661.35
  5. Step 5: Solve for x
    x = 9,256,602,661.35/109,185.84
  6. Step 6: Final answer
    x = 84,778.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.