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Finding the Fourth Proportional to 107,280.56, 160,797 and 78,777.20

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Solution

The fourth proportional to 107,280.56, 160,797 and 78,777.20 is: 118,074.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,280.56 : 160,797 = 78,777.20 : x
  2. Step 2: Convert to fraction form
    107,280.56/160,797 = 78,777.20/x
  3. Step 3: Cross multiply
    107,280.56x = 160,797 × 78,777.20
  4. Step 4: Simplify right side
    107,280.56x = 12,667,137,428.40
  5. Step 5: Solve for x
    x = 12,667,137,428.40/107,280.56
  6. Step 6: Final answer
    x = 118,074.86

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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.