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Finding the Fourth Proportional to 133,771.50, 184,604.67 and 77,182.88

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Solution

The fourth proportional to 133,771.50, 184,604.67 and 77,182.88 is: 106,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771.50 : 184,604.67 = 77,182.88 : x
  2. Step 2: Convert to fraction form
    133,771.50/184,604.67 = 77,182.88/x
  3. Step 3: Cross multiply
    133,771.50x = 184,604.67 × 77,182.88
  4. Step 4: Simplify right side
    133,771.50x = 14,248,319,169.03
  5. Step 5: Solve for x
    x = 14,248,319,169.03/133,771.50
  6. Step 6: Final answer
    x = 106,512.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.