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Finding the Fourth Proportional to 70,751.77, 106,146.09 and 20,830.23

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Solution

The fourth proportional to 70,751.77, 106,146.09 and 20,830.23 is: 31,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,751.77 : 106,146.09 = 20,830.23 : x
  2. Step 2: Convert to fraction form
    70,751.77/106,146.09 = 20,830.23/x
  3. Step 3: Cross multiply
    70,751.77x = 106,146.09 × 20,830.23
  4. Step 4: Simplify right side
    70,751.77x = 2,211,047,468.30
  5. Step 5: Solve for x
    x = 2,211,047,468.30/70,751.77
  6. Step 6: Final answer
    x = 31,250.77

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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.