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Finding the Fourth Proportional to 122,713.40, 184,071.80 and 80,861.40

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Solution

The fourth proportional to 122,713.40, 184,071.80 and 80,861.40 is: 121,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,713.40 : 184,071.80 = 80,861.40 : x
  2. Step 2: Convert to fraction form
    122,713.40/184,071.80 = 80,861.40/x
  3. Step 3: Cross multiply
    122,713.40x = 184,071.80 × 80,861.40
  4. Step 4: Simplify right side
    122,713.40x = 14,884,303,448.52
  5. Step 5: Solve for x
    x = 14,884,303,448.52/122,713.40
  6. Step 6: Final answer
    x = 121,293.22

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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.