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Finding the Fourth Proportional to 150,811.44, 207,980.74 and 102,485.50

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Solution

The fourth proportional to 150,811.44, 207,980.74 and 102,485.50 is: 141,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,811.44 : 207,980.74 = 102,485.50 : x
  2. Step 2: Convert to fraction form
    150,811.44/207,980.74 = 102,485.50/x
  3. Step 3: Cross multiply
    150,811.44x = 207,980.74 × 102,485.50
  4. Step 4: Simplify right side
    150,811.44x = 21,315,010,129.27
  5. Step 5: Solve for x
    x = 21,315,010,129.27/150,811.44
  6. Step 6: Final answer
    x = 141,335.50

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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.