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Finding the Fourth Proportional to 82,763.64, 124,163.82 and 30,172.98

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Solution

The fourth proportional to 82,763.64, 124,163.82 and 30,172.98 is: 45,266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,763.64 : 124,163.82 = 30,172.98 : x
  2. Step 2: Convert to fraction form
    82,763.64/124,163.82 = 30,172.98/x
  3. Step 3: Cross multiply
    82,763.64x = 124,163.82 × 30,172.98
  4. Step 4: Simplify right side
    82,763.64x = 3,746,392,457.58
  5. Step 5: Solve for x
    x = 3,746,392,457.58/82,763.64
  6. Step 6: Final answer
    x = 45,266.16

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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.