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Finding the Fourth Proportional to 70,929.29, 106,409.50 and 21,013.29

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Solution

The fourth proportional to 70,929.29, 106,409.50 and 21,013.29 is: 31,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,929.29 : 106,409.50 = 21,013.29 : x
  2. Step 2: Convert to fraction form
    70,929.29/106,409.50 = 21,013.29/x
  3. Step 3: Cross multiply
    70,929.29x = 106,409.50 × 21,013.29
  4. Step 4: Simplify right side
    70,929.29x = 2,236,013,629.72
  5. Step 5: Solve for x
    x = 2,236,013,629.72/70,929.29
  6. Step 6: Final answer
    x = 31,524.55

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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.