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Finding the Fourth Proportional to 209,485.39, 314,383.98 and 102,926.55

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Solution

The fourth proportional to 209,485.39, 314,383.98 and 102,926.55 is: 154,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,485.39 : 314,383.98 = 102,926.55 : x
  2. Step 2: Convert to fraction form
    209,485.39/314,383.98 = 102,926.55/x
  3. Step 3: Cross multiply
    209,485.39x = 314,383.98 × 102,926.55
  4. Step 4: Simplify right side
    209,485.39x = 32,358,458,233.17
  5. Step 5: Solve for x
    x = 32,358,458,233.17/209,485.39
  6. Step 6: Final answer
    x = 154,466.42

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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.