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Finding the Fourth Proportional to 203,709.60, 306,025.20 and 141,501.60

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Solution

The fourth proportional to 203,709.60, 306,025.20 and 141,501.60 is: 212,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,709.60 : 306,025.20 = 141,501.60 : x
  2. Step 2: Convert to fraction form
    203,709.60/306,025.20 = 141,501.60/x
  3. Step 3: Cross multiply
    203,709.60x = 306,025.20 × 141,501.60
  4. Step 4: Simplify right side
    203,709.60x = 43,303,055,440.32
  5. Step 5: Solve for x
    x = 43,303,055,440.32/203,709.60
  6. Step 6: Final answer
    x = 212,572.48

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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.