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Finding the Fourth Proportional to 82,762.80, 124,146.48 and 30,211.44

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Solution

The fourth proportional to 82,762.80, 124,146.48 and 30,211.44 is: 45,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.80 : 124,146.48 = 30,211.44 : x
  2. Step 2: Convert to fraction form
    82,762.80/124,146.48 = 30,211.44/x
  3. Step 3: Cross multiply
    82,762.80x = 124,146.48 × 30,211.44
  4. Step 4: Simplify right side
    82,762.80x = 3,750,643,931.73
  5. Step 5: Solve for x
    x = 3,750,643,931.73/82,762.80
  6. Step 6: Final answer
    x = 45,317.99

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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.