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Finding the Fourth Proportional to 70,212, 105,322.32 and 20,964

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Solution

The fourth proportional to 70,212, 105,322.32 and 20,964 is: 31,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,212 : 105,322.32 = 20,964 : x
  2. Step 2: Convert to fraction form
    70,212/105,322.32 = 20,964/x
  3. Step 3: Cross multiply
    70,212x = 105,322.32 × 20,964
  4. Step 4: Simplify right side
    70,212x = 2,207,977,116.48
  5. Step 5: Solve for x
    x = 2,207,977,116.48/70,212
  6. Step 6: Final answer
    x = 31,447.29

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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.