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Finding the Fourth Proportional to 111,762, 154,222.20 and 65,814.33

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Solution

The fourth proportional to 111,762, 154,222.20 and 65,814.33 is: 90,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,762 : 154,222.20 = 65,814.33 : x
  2. Step 2: Convert to fraction form
    111,762/154,222.20 = 65,814.33/x
  3. Step 3: Cross multiply
    111,762x = 154,222.20 × 65,814.33
  4. Step 4: Simplify right side
    111,762x = 10,150,030,764.13
  5. Step 5: Solve for x
    x = 10,150,030,764.13/111,762
  6. Step 6: Final answer
    x = 90,818.26

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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.