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Finding the Fourth Proportional to 66,830, 100,246.24 and 31,271.60

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Solution

The fourth proportional to 66,830, 100,246.24 and 31,271.60 is: 46,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830 : 100,246.24 = 31,271.60 : x
  2. Step 2: Convert to fraction form
    66,830/100,246.24 = 31,271.60/x
  3. Step 3: Cross multiply
    66,830x = 100,246.24 × 31,271.60
  4. Step 4: Simplify right side
    66,830x = 3,134,860,318.78
  5. Step 5: Solve for x
    x = 3,134,860,318.78/66,830
  6. Step 6: Final answer
    x = 46,907.98

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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.