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Finding the Fourth Proportional to 139,148.56, 208,582.62 and 54,876.16

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Solution

The fourth proportional to 139,148.56, 208,582.62 and 54,876.16 is: 82,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,148.56 : 208,582.62 = 54,876.16 : x
  2. Step 2: Convert to fraction form
    139,148.56/208,582.62 = 54,876.16/x
  3. Step 3: Cross multiply
    139,148.56x = 208,582.62 × 54,876.16
  4. Step 4: Simplify right side
    139,148.56x = 11,446,212,850.98
  5. Step 5: Solve for x
    x = 11,446,212,850.98/139,148.56
  6. Step 6: Final answer
    x = 82,258.94

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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.