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Finding the Fourth Proportional to 122,783.40, 184,175.10 and 66,650.40

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Solution

The fourth proportional to 122,783.40, 184,175.10 and 66,650.40 is: 99,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,783.40 : 184,175.10 = 66,650.40 : x
  2. Step 2: Convert to fraction form
    122,783.40/184,175.10 = 66,650.40/x
  3. Step 3: Cross multiply
    122,783.40x = 184,175.10 × 66,650.40
  4. Step 4: Simplify right side
    122,783.40x = 12,275,344,085.04
  5. Step 5: Solve for x
    x = 12,275,344,085.04/122,783.40
  6. Step 6: Final answer
    x = 99,975.60

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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.