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Finding the Fourth Proportional to 197,931, 273,144.78 and 108,507

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Solution

The fourth proportional to 197,931, 273,144.78 and 108,507 is: 149,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,931 : 273,144.78 = 108,507 : x
  2. Step 2: Convert to fraction form
    197,931/273,144.78 = 108,507/x
  3. Step 3: Cross multiply
    197,931x = 273,144.78 × 108,507
  4. Step 4: Simplify right side
    197,931x = 29,638,120,643.46
  5. Step 5: Solve for x
    x = 29,638,120,643.46/197,931
  6. Step 6: Final answer
    x = 149,739.66

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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.