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Finding the Fourth Proportional to 128,284.78, 177,082.32 and 114,832.30

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Solution

The fourth proportional to 128,284.78, 177,082.32 and 114,832.30 is: 158,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,284.78 : 177,082.32 = 114,832.30 : x
  2. Step 2: Convert to fraction form
    128,284.78/177,082.32 = 114,832.30/x
  3. Step 3: Cross multiply
    128,284.78x = 177,082.32 × 114,832.30
  4. Step 4: Simplify right side
    128,284.78x = 20,334,770,094.94
  5. Step 5: Solve for x
    x = 20,334,770,094.94/128,284.78
  6. Step 6: Final answer
    x = 158,512.73

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1.5x scale

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.