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Finding the Fourth Proportional to 70,469.28, 105,703.70 and 17,878.64

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Solution

The fourth proportional to 70,469.28, 105,703.70 and 17,878.64 is: 26,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,469.28 : 105,703.70 = 17,878.64 : x
  2. Step 2: Convert to fraction form
    70,469.28/105,703.70 = 17,878.64/x
  3. Step 3: Cross multiply
    70,469.28x = 105,703.70 × 17,878.64
  4. Step 4: Simplify right side
    70,469.28x = 1,889,837,781.06
  5. Step 5: Solve for x
    x = 1,889,837,781.06/70,469.28
  6. Step 6: Final answer
    x = 26,817.90

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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.