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Finding the Fourth Proportional to 70,176, 105,282.24 and 20,928

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Solution

The fourth proportional to 70,176, 105,282.24 and 20,928 is: 31,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,176 : 105,282.24 = 20,928 : x
  2. Step 2: Convert to fraction form
    70,176/105,282.24 = 20,928/x
  3. Step 3: Cross multiply
    70,176x = 105,282.24 × 20,928
  4. Step 4: Simplify right side
    70,176x = 2,203,346,718.72
  5. Step 5: Solve for x
    x = 2,203,346,718.72/70,176
  6. Step 6: Final answer
    x = 31,397.44

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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.