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Finding the Fourth Proportional to 130,982.40, 196,376.40 and 42,184.80

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Solution

The fourth proportional to 130,982.40, 196,376.40 and 42,184.80 is: 63,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,982.40 : 196,376.40 = 42,184.80 : x
  2. Step 2: Convert to fraction form
    130,982.40/196,376.40 = 42,184.80/x
  3. Step 3: Cross multiply
    130,982.40x = 196,376.40 × 42,184.80
  4. Step 4: Simplify right side
    130,982.40x = 8,284,099,158.72
  5. Step 5: Solve for x
    x = 8,284,099,158.72/130,982.40
  6. Step 6: Final answer
    x = 63,245.90

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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.