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Finding the Fourth Proportional to 149,051.55, 223,611.87 and 78,012.78

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Solution

The fourth proportional to 149,051.55, 223,611.87 and 78,012.78 is: 117,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,051.55 : 223,611.87 = 78,012.78 : x
  2. Step 2: Convert to fraction form
    149,051.55/223,611.87 = 78,012.78/x
  3. Step 3: Cross multiply
    149,051.55x = 223,611.87 × 78,012.78
  4. Step 4: Simplify right side
    149,051.55x = 17,444,583,619.70
  5. Step 5: Solve for x
    x = 17,444,583,619.70/149,051.55
  6. Step 6: Final answer
    x = 117,037.25

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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.