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Finding the Fourth Proportional to 123,379.40, 184,809.90 and 102,643.40

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Solution

The fourth proportional to 123,379.40, 184,809.90 and 102,643.40 is: 153,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,379.40 : 184,809.90 = 102,643.40 : x
  2. Step 2: Convert to fraction form
    123,379.40/184,809.90 = 102,643.40/x
  3. Step 3: Cross multiply
    123,379.40x = 184,809.90 × 102,643.40
  4. Step 4: Simplify right side
    123,379.40x = 18,969,516,489.66
  5. Step 5: Solve for x
    x = 18,969,516,489.66/123,379.40
  6. Step 6: Final answer
    x = 153,749.46

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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.