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Finding the Fourth Proportional to 38,231,978.40, 57,347,967.60 and 34,051,600.80

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Solution

The fourth proportional to 38,231,978.40, 57,347,967.60 and 34,051,600.80 is: 51,077,401.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,231,978.40 : 57,347,967.60 = 34,051,600.80 : x
  2. Step 2: Convert to fraction form
    38,231,978.40/57,347,967.60 = 34,051,600.80/x
  3. Step 3: Cross multiply
    38,231,978.40x = 57,347,967.60 × 34,051,600.80
  4. Step 4: Simplify right side
    38,231,978.40x = 1,952,790,099,406,534
  5. Step 5: Solve for x
    x = 1,952,790,099,406,534/38,231,978.40
  6. Step 6: Final answer
    x = 51,077,401.20

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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.