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Finding the Fourth Proportional to 227,105.78, 340,711.40 and 77,347.37

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Solution

The fourth proportional to 227,105.78, 340,711.40 and 77,347.37 is: 116,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,105.78 : 340,711.40 = 77,347.37 : x
  2. Step 2: Convert to fraction form
    227,105.78/340,711.40 = 77,347.37/x
  3. Step 3: Cross multiply
    227,105.78x = 340,711.40 × 77,347.37
  4. Step 4: Simplify right side
    227,105.78x = 26,353,130,719.02
  5. Step 5: Solve for x
    x = 26,353,130,719.02/227,105.78
  6. Step 6: Final answer
    x = 116,039.01

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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.