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Finding the Fourth Proportional to 189,805.86, 284,810.40 and 123,230.34

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Solution

The fourth proportional to 189,805.86, 284,810.40 and 123,230.34 is: 184,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,805.86 : 284,810.40 = 123,230.34 : x
  2. Step 2: Convert to fraction form
    189,805.86/284,810.40 = 123,230.34/x
  3. Step 3: Cross multiply
    189,805.86x = 284,810.40 × 123,230.34
  4. Step 4: Simplify right side
    189,805.86x = 35,097,282,427.54
  5. Step 5: Solve for x
    x = 35,097,282,427.54/189,805.86
  6. Step 6: Final answer
    x = 184,911.48

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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.