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Finding the Fourth Proportional to 70,961.51, 106,424.12 and 21,029.96

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Solution

The fourth proportional to 70,961.51, 106,424.12 and 21,029.96 is: 31,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,961.51 : 106,424.12 = 21,029.96 : x
  2. Step 2: Convert to fraction form
    70,961.51/106,424.12 = 21,029.96/x
  3. Step 3: Cross multiply
    70,961.51x = 106,424.12 × 21,029.96
  4. Step 4: Simplify right side
    70,961.51x = 2,238,095,305.27
  5. Step 5: Solve for x
    x = 2,238,095,305.27/70,961.51
  6. Step 6: Final answer
    x = 31,539.57

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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.