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Finding the Fourth Proportional to 203,148, 280,335.60 and 112,503.60

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Solution

The fourth proportional to 203,148, 280,335.60 and 112,503.60 is: 155,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,148 : 280,335.60 = 112,503.60 : x
  2. Step 2: Convert to fraction form
    203,148/280,335.60 = 112,503.60/x
  3. Step 3: Cross multiply
    203,148x = 280,335.60 × 112,503.60
  4. Step 4: Simplify right side
    203,148x = 31,538,764,208.16
  5. Step 5: Solve for x
    x = 31,538,764,208.16/203,148
  6. Step 6: Final answer
    x = 155,250.18

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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.