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Finding the Fourth Proportional to 74,523, 111,783.60 and 30,149.40

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Solution

The fourth proportional to 74,523, 111,783.60 and 30,149.40 is: 45,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,523 : 111,783.60 = 30,149.40 : x
  2. Step 2: Convert to fraction form
    74,523/111,783.60 = 30,149.40/x
  3. Step 3: Cross multiply
    74,523x = 111,783.60 × 30,149.40
  4. Step 4: Simplify right side
    74,523x = 3,370,208,469.84
  5. Step 5: Solve for x
    x = 3,370,208,469.84/74,523
  6. Step 6: Final answer
    x = 45,223.74

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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.