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Finding the Fourth Proportional to 100,013.60, 149,847.60 and 84,461.60

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Solution

The fourth proportional to 100,013.60, 149,847.60 and 84,461.60 is: 126,546.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.60 : 149,847.60 = 84,461.60 : x
  2. Step 2: Convert to fraction form
    100,013.60/149,847.60 = 84,461.60/x
  3. Step 3: Cross multiply
    100,013.60x = 149,847.60 × 84,461.60
  4. Step 4: Simplify right side
    100,013.60x = 12,656,368,052.16
  5. Step 5: Solve for x
    x = 12,656,368,052.16/100,013.60
  6. Step 6: Final answer
    x = 126,546.47

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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.