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Finding the Fourth Proportional to 86,444.80, 128,758.08 and 82,400

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Solution

The fourth proportional to 86,444.80, 128,758.08 and 82,400 is: 122,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,444.80 : 128,758.08 = 82,400 : x
  2. Step 2: Convert to fraction form
    86,444.80/128,758.08 = 82,400/x
  3. Step 3: Cross multiply
    86,444.80x = 128,758.08 × 82,400
  4. Step 4: Simplify right side
    86,444.80x = 10,609,665,792
  5. Step 5: Solve for x
    x = 10,609,665,792/86,444.80
  6. Step 6: Final answer
    x = 122,733.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.