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Finding the Fourth Proportional to 82,840.93, 124,186.88 and 30,213.61

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Solution

The fourth proportional to 82,840.93, 124,186.88 and 30,213.61 is: 45,293.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,840.93 : 124,186.88 = 30,213.61 : x
  2. Step 2: Convert to fraction form
    82,840.93/124,186.88 = 30,213.61/x
  3. Step 3: Cross multiply
    82,840.93x = 124,186.88 × 30,213.61
  4. Step 4: Simplify right side
    82,840.93x = 3,752,133,808.37
  5. Step 5: Solve for x
    x = 3,752,133,808.37/82,840.93
  6. Step 6: Final answer
    x = 45,293.24

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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.