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Finding the Fourth Proportional to 105,415.20, 158,122.80 and 100,749.60

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Solution

The fourth proportional to 105,415.20, 158,122.80 and 100,749.60 is: 151,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,415.20 : 158,122.80 = 100,749.60 : x
  2. Step 2: Convert to fraction form
    105,415.20/158,122.80 = 100,749.60/x
  3. Step 3: Cross multiply
    105,415.20x = 158,122.80 × 100,749.60
  4. Step 4: Simplify right side
    105,415.20x = 15,930,808,850.88
  5. Step 5: Solve for x
    x = 15,930,808,850.88/105,415.20
  6. Step 6: Final answer
    x = 151,124.40

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1.5x scale

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.