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Finding the Fourth Proportional to 133,612.96, 184,509.84 and 100,020.64

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Solution

The fourth proportional to 133,612.96, 184,509.84 and 100,020.64 is: 138,121.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,612.96 : 184,509.84 = 100,020.64 : x
  2. Step 2: Convert to fraction form
    133,612.96/184,509.84 = 100,020.64/x
  3. Step 3: Cross multiply
    133,612.96x = 184,509.84 × 100,020.64
  4. Step 4: Simplify right side
    133,612.96x = 18,454,792,283.10
  5. Step 5: Solve for x
    x = 18,454,792,283.10/133,612.96
  6. Step 6: Final answer
    x = 138,121.27

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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.