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Finding the Fourth Proportional to 207,210.57, 311,106.65 and 106,080.86

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Solution

The fourth proportional to 207,210.57, 311,106.65 and 106,080.86 is: 159,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,210.57 : 311,106.65 = 106,080.86 : x
  2. Step 2: Convert to fraction form
    207,210.57/311,106.65 = 106,080.86/x
  3. Step 3: Cross multiply
    207,210.57x = 311,106.65 × 106,080.86
  4. Step 4: Simplify right side
    207,210.57x = 33,002,458,897.78
  5. Step 5: Solve for x
    x = 33,002,458,897.78/207,210.57
  6. Step 6: Final answer
    x = 159,270.15

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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.