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Finding the Fourth Proportional to 181,782.90, 250,891.02 and 117,234

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Solution

The fourth proportional to 181,782.90, 250,891.02 and 117,234 is: 161,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,782.90 : 250,891.02 = 117,234 : x
  2. Step 2: Convert to fraction form
    181,782.90/250,891.02 = 117,234/x
  3. Step 3: Cross multiply
    181,782.90x = 250,891.02 × 117,234
  4. Step 4: Simplify right side
    181,782.90x = 29,412,957,838.68
  5. Step 5: Solve for x
    x = 29,412,957,838.68/181,782.90
  6. Step 6: Final answer
    x = 161,802.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.