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Finding the Fourth Proportional to 86,662.36, 129,998.40 and 24,328

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Solution

The fourth proportional to 86,662.36, 129,998.40 and 24,328 is: 36,493.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,662.36 : 129,998.40 = 24,328 : x
  2. Step 2: Convert to fraction form
    86,662.36/129,998.40 = 24,328/x
  3. Step 3: Cross multiply
    86,662.36x = 129,998.40 × 24,328
  4. Step 4: Simplify right side
    86,662.36x = 3,162,601,075.20
  5. Step 5: Solve for x
    x = 3,162,601,075.20/86,662.36
  6. Step 6: Final answer
    x = 36,493.36

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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.