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Finding the Fourth Proportional to 149,180.93, 205,869.54 and 81,197.82

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Solution

The fourth proportional to 149,180.93, 205,869.54 and 81,197.82 is: 112,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,180.93 : 205,869.54 = 81,197.82 : x
  2. Step 2: Convert to fraction form
    149,180.93/205,869.54 = 81,197.82/x
  3. Step 3: Cross multiply
    149,180.93x = 205,869.54 × 81,197.82
  4. Step 4: Simplify right side
    149,180.93x = 16,716,157,852.40
  5. Step 5: Solve for x
    x = 16,716,157,852.40/149,180.93
  6. Step 6: Final answer
    x = 112,052.92

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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.