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Finding the Fourth Proportional to 82,904.80, 124,405.80 and 30,319.60

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Solution

The fourth proportional to 82,904.80, 124,405.80 and 30,319.60 is: 45,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,904.80 : 124,405.80 = 30,319.60 : x
  2. Step 2: Convert to fraction form
    82,904.80/124,405.80 = 30,319.60/x
  3. Step 3: Cross multiply
    82,904.80x = 124,405.80 × 30,319.60
  4. Step 4: Simplify right side
    82,904.80x = 3,771,934,093.68
  5. Step 5: Solve for x
    x = 3,771,934,093.68/82,904.80
  6. Step 6: Final answer
    x = 45,497.17

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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.