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Finding the Fourth Proportional to 111,323.70, 166,985.55 and 78,081.30

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Solution

The fourth proportional to 111,323.70, 166,985.55 and 78,081.30 is: 117,121.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,323.70 : 166,985.55 = 78,081.30 : x
  2. Step 2: Convert to fraction form
    111,323.70/166,985.55 = 78,081.30/x
  3. Step 3: Cross multiply
    111,323.70x = 166,985.55 × 78,081.30
  4. Step 4: Simplify right side
    111,323.70x = 13,038,448,825.22
  5. Step 5: Solve for x
    x = 13,038,448,825.22/111,323.70
  6. Step 6: Final answer
    x = 117,121.95

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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.