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Finding the Fourth Proportional to 129,004,241.60, 193,434,978.71 and 51,202,328.96

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Solution

The fourth proportional to 129,004,241.60, 193,434,978.71 and 51,202,328.96 is: 76,775,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,004,241.60 : 193,434,978.71 = 51,202,328.96 : x
  2. Step 2: Convert to fraction form
    129,004,241.60/193,434,978.71 = 51,202,328.96/x
  3. Step 3: Cross multiply
    129,004,241.60x = 193,434,978.71 × 51,202,328.96
  4. Step 4: Simplify right side
    129,004,241.60x = 9,904,321,412,280,018
  5. Step 5: Solve for x
    x = 9,904,321,412,280,018/129,004,241.60
  6. Step 6: Final answer
    x = 76,775,160.95

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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.