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Finding the Fourth Proportional to 77,878, 116,804.19 and 21,721.92

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Solution

The fourth proportional to 77,878, 116,804.19 and 21,721.92 is: 32,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878 : 116,804.19 = 21,721.92 : x
  2. Step 2: Convert to fraction form
    77,878/116,804.19 = 21,721.92/x
  3. Step 3: Cross multiply
    77,878x = 116,804.19 × 21,721.92
  4. Step 4: Simplify right side
    77,878x = 2,537,211,270.84
  5. Step 5: Solve for x
    x = 2,537,211,270.84/77,878
  6. Step 6: Final answer
    x = 32,579.31

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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.