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Finding the Fourth Proportional to 86,135.40, 128,984.40 and 82,198.80

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Solution

The fourth proportional to 86,135.40, 128,984.40 and 82,198.80 is: 123,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,135.40 : 128,984.40 = 82,198.80 : x
  2. Step 2: Convert to fraction form
    86,135.40/128,984.40 = 82,198.80/x
  3. Step 3: Cross multiply
    86,135.40x = 128,984.40 × 82,198.80
  4. Step 4: Simplify right side
    86,135.40x = 10,602,362,898.72
  5. Step 5: Solve for x
    x = 10,602,362,898.72/86,135.40
  6. Step 6: Final answer
    x = 123,089.50

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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.