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Finding the Fourth Proportional to 147,809.86, 203,964.23 and 83,289.60

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Solution

The fourth proportional to 147,809.86, 203,964.23 and 83,289.60 is: 114,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,809.86 : 203,964.23 = 83,289.60 : x
  2. Step 2: Convert to fraction form
    147,809.86/203,964.23 = 83,289.60/x
  3. Step 3: Cross multiply
    147,809.86x = 203,964.23 × 83,289.60
  4. Step 4: Simplify right side
    147,809.86x = 16,988,099,300.97
  5. Step 5: Solve for x
    x = 16,988,099,300.97/147,809.86
  6. Step 6: Final answer
    x = 114,932.11

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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.