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Finding the Fourth Proportional to 82,754.40, 124,119.30 and 30,151.62

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Solution

The fourth proportional to 82,754.40, 124,119.30 and 30,151.62 is: 45,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,754.40 : 124,119.30 = 30,151.62 : x
  2. Step 2: Convert to fraction form
    82,754.40/124,119.30 = 30,151.62/x
  3. Step 3: Cross multiply
    82,754.40x = 124,119.30 × 30,151.62
  4. Step 4: Simplify right side
    82,754.40x = 3,742,397,968.27
  5. Step 5: Solve for x
    x = 3,742,397,968.27/82,754.40
  6. Step 6: Final answer
    x = 45,222.95

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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.