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Finding the Fourth Proportional to 139,452.63, 209,095.75 and 55,224.87

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Solution

The fourth proportional to 139,452.63, 209,095.75 and 55,224.87 is: 82,804.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,452.63 : 209,095.75 = 55,224.87 : x
  2. Step 2: Convert to fraction form
    139,452.63/209,095.75 = 55,224.87/x
  3. Step 3: Cross multiply
    139,452.63x = 209,095.75 × 55,224.87
  4. Step 4: Simplify right side
    139,452.63x = 11,547,285,611.30
  5. Step 5: Solve for x
    x = 11,547,285,611.30/139,452.63
  6. Step 6: Final answer
    x = 82,804.36

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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.