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Finding the Fourth Proportional to 70,929.10, 106,409.22 and 21,013.10

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Solution

The fourth proportional to 70,929.10, 106,409.22 and 21,013.10 is: 31,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,929.10 : 106,409.22 = 21,013.10 : x
  2. Step 2: Convert to fraction form
    70,929.10/106,409.22 = 21,013.10/x
  3. Step 3: Cross multiply
    70,929.10x = 106,409.22 × 21,013.10
  4. Step 4: Simplify right side
    70,929.10x = 2,235,987,846.81
  5. Step 5: Solve for x
    x = 2,235,987,846.81/70,929.10
  6. Step 6: Final answer
    x = 31,524.27

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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.