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Finding the Fourth Proportional to 218,223.36, 301,164 and 133,356.64

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Solution

The fourth proportional to 218,223.36, 301,164 and 133,356.64 is: 184,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,223.36 : 301,164 = 133,356.64 : x
  2. Step 2: Convert to fraction form
    218,223.36/301,164 = 133,356.64/x
  3. Step 3: Cross multiply
    218,223.36x = 301,164 × 133,356.64
  4. Step 4: Simplify right side
    218,223.36x = 40,162,219,128.96
  5. Step 5: Solve for x
    x = 40,162,219,128.96/218,223.36
  6. Step 6: Final answer
    x = 184,041.80

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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.