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Finding the Fourth Proportional to 78,099.54, 107,777.21 and 42,289.65

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Solution

The fourth proportional to 78,099.54, 107,777.21 and 42,289.65 is: 58,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,099.54 : 107,777.21 = 42,289.65 : x
  2. Step 2: Convert to fraction form
    78,099.54/107,777.21 = 42,289.65/x
  3. Step 3: Cross multiply
    78,099.54x = 107,777.21 × 42,289.65
  4. Step 4: Simplify right side
    78,099.54x = 4,557,860,277.43
  5. Step 5: Solve for x
    x = 4,557,860,277.43/78,099.54
  6. Step 6: Final answer
    x = 58,359.63

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1.5x scale

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.