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Finding the Fourth Proportional to 147,784, 203,943 and 80,716

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Solution

The fourth proportional to 147,784, 203,943 and 80,716 is: 111,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,784 : 203,943 = 80,716 : x
  2. Step 2: Convert to fraction form
    147,784/203,943 = 80,716/x
  3. Step 3: Cross multiply
    147,784x = 203,943 × 80,716
  4. Step 4: Simplify right side
    147,784x = 16,461,463,188
  5. Step 5: Solve for x
    x = 16,461,463,188/147,784
  6. Step 6: Final answer
    x = 111,388.67

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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.