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Finding the Fourth Proportional to 148,975.70, 205,586.45 and 81,907.70

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Solution

The fourth proportional to 148,975.70, 205,586.45 and 81,907.70 is: 113,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,975.70 : 205,586.45 = 81,907.70 : x
  2. Step 2: Convert to fraction form
    148,975.70/205,586.45 = 81,907.70/x
  3. Step 3: Cross multiply
    148,975.70x = 205,586.45 × 81,907.70
  4. Step 4: Simplify right side
    148,975.70x = 16,839,111,833.19
  5. Step 5: Solve for x
    x = 16,839,111,833.19/148,975.70
  6. Step 6: Final answer
    x = 113,032.61

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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.