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Finding the Fourth Proportional to 102,686.87, 154,084.48 and 72,893.52

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Solution

The fourth proportional to 102,686.87, 154,084.48 and 72,893.52 is: 109,378.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,686.87 : 154,084.48 = 72,893.52 : x
  2. Step 2: Convert to fraction form
    102,686.87/154,084.48 = 72,893.52/x
  3. Step 3: Cross multiply
    102,686.87x = 154,084.48 × 72,893.52
  4. Step 4: Simplify right side
    102,686.87x = 11,231,759,942.34
  5. Step 5: Solve for x
    x = 11,231,759,942.34/102,686.87
  6. Step 6: Final answer
    x = 109,378.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.