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Finding the Fourth Proportional to 207,547.60, 311,321.40 and 102,571.60

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Solution

The fourth proportional to 207,547.60, 311,321.40 and 102,571.60 is: 153,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,547.60 : 311,321.40 = 102,571.60 : x
  2. Step 2: Convert to fraction form
    207,547.60/311,321.40 = 102,571.60/x
  3. Step 3: Cross multiply
    207,547.60x = 311,321.40 × 102,571.60
  4. Step 4: Simplify right side
    207,547.60x = 31,932,734,112.24
  5. Step 5: Solve for x
    x = 31,932,734,112.24/207,547.60
  6. Step 6: Final answer
    x = 153,857.40

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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.