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Finding the Fourth Proportional to 70,705.28, 106,056.30 and 20,784.08

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Solution

The fourth proportional to 70,705.28, 106,056.30 and 20,784.08 is: 31,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,705.28 : 106,056.30 = 20,784.08 : x
  2. Step 2: Convert to fraction form
    70,705.28/106,056.30 = 20,784.08/x
  3. Step 3: Cross multiply
    70,705.28x = 106,056.30 × 20,784.08
  4. Step 4: Simplify right side
    70,705.28x = 2,204,282,623.70
  5. Step 5: Solve for x
    x = 2,204,282,623.70/70,705.28
  6. Step 6: Final answer
    x = 31,175.64

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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.