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Finding the Fourth Proportional to 138,050.20, 206,783.70 and 114,722.20

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Solution

The fourth proportional to 138,050.20, 206,783.70 and 114,722.20 is: 171,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050.20 : 206,783.70 = 114,722.20 : x
  2. Step 2: Convert to fraction form
    138,050.20/206,783.70 = 114,722.20/x
  3. Step 3: Cross multiply
    138,050.20x = 206,783.70 × 114,722.20
  4. Step 4: Simplify right side
    138,050.20x = 23,722,680,988.14
  5. Step 5: Solve for x
    x = 23,722,680,988.14/138,050.20
  6. Step 6: Final answer
    x = 171,840.98

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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.