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Finding the Fourth Proportional to 139,942.73, 209,946.90 and 46,448.48

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Solution

The fourth proportional to 139,942.73, 209,946.90 and 46,448.48 is: 69,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,942.73 : 209,946.90 = 46,448.48 : x
  2. Step 2: Convert to fraction form
    139,942.73/209,946.90 = 46,448.48/x
  3. Step 3: Cross multiply
    139,942.73x = 209,946.90 × 46,448.48
  4. Step 4: Simplify right side
    139,942.73x = 9,751,714,385.71
  5. Step 5: Solve for x
    x = 9,751,714,385.71/139,942.73
  6. Step 6: Final answer
    x = 69,683.61

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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.