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Finding the Fourth Proportional to 77,026, 115,558.47 and 21,622

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Solution

The fourth proportional to 77,026, 115,558.47 and 21,622 is: 32,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,026 : 115,558.47 = 21,622 : x
  2. Step 2: Convert to fraction form
    77,026/115,558.47 = 21,622/x
  3. Step 3: Cross multiply
    77,026x = 115,558.47 × 21,622
  4. Step 4: Simplify right side
    77,026x = 2,498,605,238.34
  5. Step 5: Solve for x
    x = 2,498,605,238.34/77,026
  6. Step 6: Final answer
    x = 32,438.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.