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Finding the Fourth Proportional to 147,964, 204,190.32 and 80,896

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Solution

The fourth proportional to 147,964, 204,190.32 and 80,896 is: 111,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,964 : 204,190.32 = 80,896 : x
  2. Step 2: Convert to fraction form
    147,964/204,190.32 = 80,896/x
  3. Step 3: Cross multiply
    147,964x = 204,190.32 × 80,896
  4. Step 4: Simplify right side
    147,964x = 16,518,180,126.72
  5. Step 5: Solve for x
    x = 16,518,180,126.72/147,964
  6. Step 6: Final answer
    x = 111,636.48

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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.