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Finding the Fourth Proportional to 76,365, 114,549.66 and 20,961

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Solution

The fourth proportional to 76,365, 114,549.66 and 20,961 is: 31,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,365 : 114,549.66 = 20,961 : x
  2. Step 2: Convert to fraction form
    76,365/114,549.66 = 20,961/x
  3. Step 3: Cross multiply
    76,365x = 114,549.66 × 20,961
  4. Step 4: Simplify right side
    76,365x = 2,401,075,423.26
  5. Step 5: Solve for x
    x = 2,401,075,423.26/76,365
  6. Step 6: Final answer
    x = 31,442.09

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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.