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Finding the Fourth Proportional to 69,709.30, 96,198.64 and 37,878.20

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Solution

The fourth proportional to 69,709.30, 96,198.64 and 37,878.20 is: 52,271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,709.30 : 96,198.64 = 37,878.20 : x
  2. Step 2: Convert to fraction form
    69,709.30/96,198.64 = 37,878.20/x
  3. Step 3: Cross multiply
    69,709.30x = 96,198.64 × 37,878.20
  4. Step 4: Simplify right side
    69,709.30x = 3,643,830,844.65
  5. Step 5: Solve for x
    x = 3,643,830,844.65/69,709.30
  6. Step 6: Final answer
    x = 52,271.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.