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Finding the Fourth Proportional to 111,544.86, 167,317.53 and 78,412.98

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Solution

The fourth proportional to 111,544.86, 167,317.53 and 78,412.98 is: 117,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,544.86 : 167,317.53 = 78,412.98 : x
  2. Step 2: Convert to fraction form
    111,544.86/167,317.53 = 78,412.98/x
  3. Step 3: Cross multiply
    111,544.86x = 167,317.53 × 78,412.98
  4. Step 4: Simplify right side
    111,544.86x = 13,119,866,133.54
  5. Step 5: Solve for x
    x = 13,119,866,133.54/111,544.86
  6. Step 6: Final answer
    x = 117,619.64

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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.