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Finding the Fourth Proportional to 147,811.50, 203,980.11 and 84,149.30

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Solution

The fourth proportional to 147,811.50, 203,980.11 and 84,149.30 is: 116,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,811.50 : 203,980.11 = 84,149.30 : x
  2. Step 2: Convert to fraction form
    147,811.50/203,980.11 = 84,149.30/x
  3. Step 3: Cross multiply
    147,811.50x = 203,980.11 × 84,149.30
  4. Step 4: Simplify right side
    147,811.50x = 17,164,782,517.43
  5. Step 5: Solve for x
    x = 17,164,782,517.43/147,811.50
  6. Step 6: Final answer
    x = 116,126.16

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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.