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Finding the Fourth Proportional to 207,627.65, 311,441.57 and 57,871.81

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Solution

The fourth proportional to 207,627.65, 311,441.57 and 57,871.81 is: 86,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,627.65 : 311,441.57 = 57,871.81 : x
  2. Step 2: Convert to fraction form
    207,627.65/311,441.57 = 57,871.81/x
  3. Step 3: Cross multiply
    207,627.65x = 311,441.57 × 57,871.81
  4. Step 4: Simplify right side
    207,627.65x = 18,023,688,007.63
  5. Step 5: Solve for x
    x = 18,023,688,007.63/207,627.65
  6. Step 6: Final answer
    x = 86,807.75

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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.