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Finding the Fourth Proportional to 47,319,145.20, 70,978,717.80 and 30,313,033.20

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Solution

The fourth proportional to 47,319,145.20, 70,978,717.80 and 30,313,033.20 is: 45,469,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,319,145.20 : 70,978,717.80 = 30,313,033.20 : x
  2. Step 2: Convert to fraction form
    47,319,145.20/70,978,717.80 = 30,313,033.20/x
  3. Step 3: Cross multiply
    47,319,145.20x = 70,978,717.80 × 30,313,033.20
  4. Step 4: Simplify right side
    47,319,145.20x = 2,151,580,229,164,830.75
  5. Step 5: Solve for x
    x = 2,151,580,229,164,830.75/47,319,145.20
  6. Step 6: Final answer
    x = 45,469,549.80

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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.