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Finding the Fourth Proportional to 208,628.59, 312,943.11 and 75,477.65

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Solution

The fourth proportional to 208,628.59, 312,943.11 and 75,477.65 is: 113,216.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,628.59 : 312,943.11 = 75,477.65 : x
  2. Step 2: Convert to fraction form
    208,628.59/312,943.11 = 75,477.65/x
  3. Step 3: Cross multiply
    208,628.59x = 312,943.11 × 75,477.65
  4. Step 4: Simplify right side
    208,628.59x = 23,620,210,526.49
  5. Step 5: Solve for x
    x = 23,620,210,526.49/208,628.59
  6. Step 6: Final answer
    x = 113,216.56

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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.