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Finding the Fourth Proportional to 150,014.78, 225,084.30 and 65,731.40

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Solution

The fourth proportional to 150,014.78, 225,084.30 and 65,731.40 is: 98,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,014.78 : 225,084.30 = 65,731.40 : x
  2. Step 2: Convert to fraction form
    150,014.78/225,084.30 = 65,731.40/x
  3. Step 3: Cross multiply
    150,014.78x = 225,084.30 × 65,731.40
  4. Step 4: Simplify right side
    150,014.78x = 14,795,106,157.02
  5. Step 5: Solve for x
    x = 14,795,106,157.02/150,014.78
  6. Step 6: Final answer
    x = 98,624.32

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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.