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Finding the Fourth Proportional to 212,657,489.64, 318,986,234.64 and 51,099,425.64

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Solution

The fourth proportional to 212,657,489.64, 318,986,234.64 and 51,099,425.64 is: 76,649,138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,657,489.64 : 318,986,234.64 = 51,099,425.64 : x
  2. Step 2: Convert to fraction form
    212,657,489.64/318,986,234.64 = 51,099,425.64/x
  3. Step 3: Cross multiply
    212,657,489.64x = 318,986,234.64 × 51,099,425.64
  4. Step 4: Simplify right side
    212,657,489.64x = 16,300,013,377,170,272
  5. Step 5: Solve for x
    x = 16,300,013,377,170,272/212,657,489.64
  6. Step 6: Final answer
    x = 76,649,138.50

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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.