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Finding the Fourth Proportional to 207,574.50, 311,362.05 and 57,815.22

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Solution

The fourth proportional to 207,574.50, 311,362.05 and 57,815.22 is: 86,722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,574.50 : 311,362.05 = 57,815.22 : x
  2. Step 2: Convert to fraction form
    207,574.50/311,362.05 = 57,815.22/x
  3. Step 3: Cross multiply
    207,574.50x = 311,362.05 × 57,815.22
  4. Step 4: Simplify right side
    207,574.50x = 18,001,465,420.40
  5. Step 5: Solve for x
    x = 18,001,465,420.40/207,574.50
  6. Step 6: Final answer
    x = 86,722.91

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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.