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Finding the Fourth Proportional to 89,468, 134,202.81 and 27,138.50

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Solution

The fourth proportional to 89,468, 134,202.81 and 27,138.50 is: 40,708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,468 : 134,202.81 = 27,138.50 : x
  2. Step 2: Convert to fraction form
    89,468/134,202.81 = 27,138.50/x
  3. Step 3: Cross multiply
    89,468x = 134,202.81 × 27,138.50
  4. Step 4: Simplify right side
    89,468x = 3,642,062,959.19
  5. Step 5: Solve for x
    x = 3,642,062,959.19/89,468
  6. Step 6: Final answer
    x = 40,708.00

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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.