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Finding the Fourth Proportional to 123,774.36, 185,661.42 and 43,870.86

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Solution

The fourth proportional to 123,774.36, 185,661.42 and 43,870.86 is: 65,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,774.36 : 185,661.42 = 43,870.86 : x
  2. Step 2: Convert to fraction form
    123,774.36/185,661.42 = 43,870.86/x
  3. Step 3: Cross multiply
    123,774.36x = 185,661.42 × 43,870.86
  4. Step 4: Simplify right side
    123,774.36x = 8,145,126,164.22
  5. Step 5: Solve for x
    x = 8,145,126,164.22/123,774.36
  6. Step 6: Final answer
    x = 65,806.25

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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.