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Finding the Fourth Proportional to 68,456.94, 102,695.16 and 21,075.98

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Solution

The fourth proportional to 68,456.94, 102,695.16 and 21,075.98 is: 31,616.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,456.94 : 102,695.16 = 21,075.98 : x
  2. Step 2: Convert to fraction form
    68,456.94/102,695.16 = 21,075.98/x
  3. Step 3: Cross multiply
    68,456.94x = 102,695.16 × 21,075.98
  4. Step 4: Simplify right side
    68,456.94x = 2,164,401,138.26
  5. Step 5: Solve for x
    x = 2,164,401,138.26/68,456.94
  6. Step 6: Final answer
    x = 31,616.97

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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.