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Finding the Fourth Proportional to 148,115, 204,398.70 and 81,047

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Solution

The fourth proportional to 148,115, 204,398.70 and 81,047 is: 111,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,115 : 204,398.70 = 81,047 : x
  2. Step 2: Convert to fraction form
    148,115/204,398.70 = 81,047/x
  3. Step 3: Cross multiply
    148,115x = 204,398.70 × 81,047
  4. Step 4: Simplify right side
    148,115x = 16,565,901,438.90
  5. Step 5: Solve for x
    x = 16,565,901,438.90/148,115
  6. Step 6: Final answer
    x = 111,844.86

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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.