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Finding the Fourth Proportional to 70,043.28, 105,053.64 and 20,112.02

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Solution

The fourth proportional to 70,043.28, 105,053.64 and 20,112.02 is: 30,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,043.28 : 105,053.64 = 20,112.02 : x
  2. Step 2: Convert to fraction form
    70,043.28/105,053.64 = 20,112.02/x
  3. Step 3: Cross multiply
    70,043.28x = 105,053.64 × 20,112.02
  4. Step 4: Simplify right side
    70,043.28x = 2,112,840,582.57
  5. Step 5: Solve for x
    x = 2,112,840,582.57/70,043.28
  6. Step 6: Final answer
    x = 30,164.79

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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.