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Finding the Fourth Proportional to 80,633.90, 111,289.32 and 46,637.66

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Solution

The fourth proportional to 80,633.90, 111,289.32 and 46,637.66 is: 64,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,633.90 : 111,289.32 = 46,637.66 : x
  2. Step 2: Convert to fraction form
    80,633.90/111,289.32 = 46,637.66/x
  3. Step 3: Cross multiply
    80,633.90x = 111,289.32 × 46,637.66
  4. Step 4: Simplify right side
    80,633.90x = 5,190,273,467.79
  5. Step 5: Solve for x
    x = 5,190,273,467.79/80,633.90
  6. Step 6: Final answer
    x = 64,368.38

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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.