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Finding the Fourth Proportional to 227,009.40, 340,271.10 and 77,110.80

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Solution

The fourth proportional to 227,009.40, 340,271.10 and 77,110.80 is: 115,583.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,009.40 : 340,271.10 = 77,110.80 : x
  2. Step 2: Convert to fraction form
    227,009.40/340,271.10 = 77,110.80/x
  3. Step 3: Cross multiply
    227,009.40x = 340,271.10 × 77,110.80
  4. Step 4: Simplify right side
    227,009.40x = 26,238,576,737.88
  5. Step 5: Solve for x
    x = 26,238,576,737.88/227,009.40
  6. Step 6: Final answer
    x = 115,583.66

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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.