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Finding the Fourth Proportional to 70,632.36, 105,947.82 and 21,384.36

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Solution

The fourth proportional to 70,632.36, 105,947.82 and 21,384.36 is: 32,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,632.36 : 105,947.82 = 21,384.36 : x
  2. Step 2: Convert to fraction form
    70,632.36/105,947.82 = 21,384.36/x
  3. Step 3: Cross multiply
    70,632.36x = 105,947.82 × 21,384.36
  4. Step 4: Simplify right side
    70,632.36x = 2,265,626,324.10
  5. Step 5: Solve for x
    x = 2,265,626,324.10/70,632.36
  6. Step 6: Final answer
    x = 32,076.32

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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.