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Finding the Fourth Proportional to 228,236.49, 342,501.62 and 123,128.01

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Solution

The fourth proportional to 228,236.49, 342,501.62 and 123,128.01 is: 184,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,236.49 : 342,501.62 = 123,128.01 : x
  2. Step 2: Convert to fraction form
    228,236.49/342,501.62 = 123,128.01/x
  3. Step 3: Cross multiply
    228,236.49x = 342,501.62 × 123,128.01
  4. Step 4: Simplify right side
    228,236.49x = 42,171,542,276.74
  5. Step 5: Solve for x
    x = 42,171,542,276.74/228,236.49
  6. Step 6: Final answer
    x = 184,771.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.