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Finding the Fourth Proportional to 148,916, 205,504.08 and 81,848

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Solution

The fourth proportional to 148,916, 205,504.08 and 81,848 is: 112,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,916 : 205,504.08 = 81,848 : x
  2. Step 2: Convert to fraction form
    148,916/205,504.08 = 81,848/x
  3. Step 3: Cross multiply
    148,916x = 205,504.08 × 81,848
  4. Step 4: Simplify right side
    148,916x = 16,820,097,939.84
  5. Step 5: Solve for x
    x = 16,820,097,939.84/148,916
  6. Step 6: Final answer
    x = 112,950.24

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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.