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Finding the Fourth Proportional to 148,068, 204,338.70 and 81,000

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Solution

The fourth proportional to 148,068, 204,338.70 and 81,000 is: 111,782.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,068 : 204,338.70 = 81,000 : x
  2. Step 2: Convert to fraction form
    148,068/204,338.70 = 81,000/x
  3. Step 3: Cross multiply
    148,068x = 204,338.70 × 81,000
  4. Step 4: Simplify right side
    148,068x = 16,551,434,700
  5. Step 5: Solve for x
    x = 16,551,434,700/148,068
  6. Step 6: Final answer
    x = 111,782.66

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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.