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Finding the Fourth Proportional to 153,144.99, 229,226.00 and 81,889.65

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Solution

The fourth proportional to 153,144.99, 229,226.00 and 81,889.65 is: 122,571.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,144.99 : 229,226.00 = 81,889.65 : x
  2. Step 2: Convert to fraction form
    153,144.99/229,226.00 = 81,889.65/x
  3. Step 3: Cross multiply
    153,144.99x = 229,226.00 × 81,889.65
  4. Step 4: Simplify right side
    153,144.99x = 18,771,236,501.45
  5. Step 5: Solve for x
    x = 18,771,236,501.45/153,144.99
  6. Step 6: Final answer
    x = 122,571.67

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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.