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Finding the Fourth Proportional to 130,428.40, 195,719.40 and 47,311.60

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Solution

The fourth proportional to 130,428.40, 195,719.40 and 47,311.60 is: 70,995.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,428.40 : 195,719.40 = 47,311.60 : x
  2. Step 2: Convert to fraction form
    130,428.40/195,719.40 = 47,311.60/x
  3. Step 3: Cross multiply
    130,428.40x = 195,719.40 × 47,311.60
  4. Step 4: Simplify right side
    130,428.40x = 9,259,797,965.04
  5. Step 5: Solve for x
    x = 9,259,797,965.04/130,428.40
  6. Step 6: Final answer
    x = 70,995.26

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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.