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Finding the Fourth Proportional to 77,399.82, 106,804.17 and 43,400.34

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Solution

The fourth proportional to 77,399.82, 106,804.17 and 43,400.34 is: 59,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,399.82 : 106,804.17 = 43,400.34 : x
  2. Step 2: Convert to fraction form
    77,399.82/106,804.17 = 43,400.34/x
  3. Step 3: Cross multiply
    77,399.82x = 106,804.17 × 43,400.34
  4. Step 4: Simplify right side
    77,399.82x = 4,635,337,291.42
  5. Step 5: Solve for x
    x = 4,635,337,291.42/77,399.82
  6. Step 6: Final answer
    x = 59,888.22

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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.