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Finding the Fourth Proportional to 207,510.10, 311,301.60 and 74,467.60

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Solution

The fourth proportional to 207,510.10, 311,301.60 and 74,467.60 is: 111,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,510.10 : 311,301.60 = 74,467.60 : x
  2. Step 2: Convert to fraction form
    207,510.10/311,301.60 = 74,467.60/x
  3. Step 3: Cross multiply
    207,510.10x = 311,301.60 × 74,467.60
  4. Step 4: Simplify right side
    207,510.10x = 23,181,883,028.16
  5. Step 5: Solve for x
    x = 23,181,883,028.16/207,510.10
  6. Step 6: Final answer
    x = 111,714.48

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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.