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Finding the Fourth Proportional to 70,137.16, 105,222.44 and 20,216.45

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Solution

The fourth proportional to 70,137.16, 105,222.44 and 20,216.45 is: 30,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,137.16 : 105,222.44 = 20,216.45 : x
  2. Step 2: Convert to fraction form
    70,137.16/105,222.44 = 20,216.45/x
  3. Step 3: Cross multiply
    70,137.16x = 105,222.44 × 20,216.45
  4. Step 4: Simplify right side
    70,137.16x = 2,127,224,510.74
  5. Step 5: Solve for x
    x = 2,127,224,510.74/70,137.16
  6. Step 6: Final answer
    x = 30,329.49

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1.5x scale

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.