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Finding the Fourth Proportional to 82,830.60, 124,245.90 and 53,281.80

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Solution

The fourth proportional to 82,830.60, 124,245.90 and 53,281.80 is: 79,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,830.60 : 124,245.90 = 53,281.80 : x
  2. Step 2: Convert to fraction form
    82,830.60/124,245.90 = 53,281.80/x
  3. Step 3: Cross multiply
    82,830.60x = 124,245.90 × 53,281.80
  4. Step 4: Simplify right side
    82,830.60x = 6,620,045,194.62
  5. Step 5: Solve for x
    x = 6,620,045,194.62/82,830.60
  6. Step 6: Final answer
    x = 79,922.70

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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.