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Finding the Fourth Proportional to 70,321, 105,498.78 and 21,073

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Solution

The fourth proportional to 70,321, 105,498.78 and 21,073 is: 31,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,321 : 105,498.78 = 21,073 : x
  2. Step 2: Convert to fraction form
    70,321/105,498.78 = 21,073/x
  3. Step 3: Cross multiply
    70,321x = 105,498.78 × 21,073
  4. Step 4: Simplify right side
    70,321x = 2,223,175,790.94
  5. Step 5: Solve for x
    x = 2,223,175,790.94/70,321
  6. Step 6: Final answer
    x = 31,614.68

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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.