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Finding the Fourth Proportional to 148,116, 204,400.08 and 81,048

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Solution

The fourth proportional to 148,116, 204,400.08 and 81,048 is: 111,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,116 : 204,400.08 = 81,048 : x
  2. Step 2: Convert to fraction form
    148,116/204,400.08 = 81,048/x
  3. Step 3: Cross multiply
    148,116x = 204,400.08 × 81,048
  4. Step 4: Simplify right side
    148,116x = 16,566,217,683.84
  5. Step 5: Solve for x
    x = 16,566,217,683.84/148,116
  6. Step 6: Final answer
    x = 111,846.24

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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.