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Finding the Fourth Proportional to 148,076, 204,347.84 and 81,009.44

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Solution

The fourth proportional to 148,076, 204,347.84 and 81,009.44 is: 111,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,076 : 204,347.84 = 81,009.44 : x
  2. Step 2: Convert to fraction form
    148,076/204,347.84 = 81,009.44/x
  3. Step 3: Cross multiply
    148,076x = 204,347.84 × 81,009.44
  4. Step 4: Simplify right side
    148,076x = 16,554,104,083.61
  5. Step 5: Solve for x
    x = 16,554,104,083.61/148,076
  6. Step 6: Final answer
    x = 111,794.65

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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.