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Finding the Fourth Proportional to 77,391, 116,090.82 and 21,991.32

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Solution

The fourth proportional to 77,391, 116,090.82 and 21,991.32 is: 32,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,391 : 116,090.82 = 21,991.32 : x
  2. Step 2: Convert to fraction form
    77,391/116,090.82 = 21,991.32/x
  3. Step 3: Cross multiply
    77,391x = 116,090.82 × 21,991.32
  4. Step 4: Simplify right side
    77,391x = 2,552,990,371.68
  5. Step 5: Solve for x
    x = 2,552,990,371.68/77,391
  6. Step 6: Final answer
    x = 32,988.21

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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.