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Finding the Fourth Proportional to 86,135.36, 129,199.36 and 26,969.72

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Solution

The fourth proportional to 86,135.36, 129,199.36 and 26,969.72 is: 40,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,135.36 : 129,199.36 = 26,969.72 : x
  2. Step 2: Convert to fraction form
    86,135.36/129,199.36 = 26,969.72/x
  3. Step 3: Cross multiply
    86,135.36x = 129,199.36 × 26,969.72
  4. Step 4: Simplify right side
    86,135.36x = 3,484,470,563.38
  5. Step 5: Solve for x
    x = 3,484,470,563.38/86,135.36
  6. Step 6: Final answer
    x = 40,453.43

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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.