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Finding the Fourth Proportional to 123,378.40, 184,808.40 and 102,642.40

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Solution

The fourth proportional to 123,378.40, 184,808.40 and 102,642.40 is: 153,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,378.40 : 184,808.40 = 102,642.40 : x
  2. Step 2: Convert to fraction form
    123,378.40/184,808.40 = 102,642.40/x
  3. Step 3: Cross multiply
    123,378.40x = 184,808.40 × 102,642.40
  4. Step 4: Simplify right side
    123,378.40x = 18,969,177,716.16
  5. Step 5: Solve for x
    x = 18,969,177,716.16/123,378.40
  6. Step 6: Final answer
    x = 153,747.96

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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.