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Finding the Fourth Proportional to 137,556.70, 206,030.23 and 105,732.43

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Solution

The fourth proportional to 137,556.70, 206,030.23 and 105,732.43 is: 158,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,556.70 : 206,030.23 = 105,732.43 : x
  2. Step 2: Convert to fraction form
    137,556.70/206,030.23 = 105,732.43/x
  3. Step 3: Cross multiply
    137,556.70x = 206,030.23 × 105,732.43
  4. Step 4: Simplify right side
    137,556.70x = 21,784,076,091.95
  5. Step 5: Solve for x
    x = 21,784,076,091.95/137,556.70
  6. Step 6: Final answer
    x = 158,364.34

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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.