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Finding the Fourth Proportional to 208,151.04, 312,240 and 73,198.56

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Solution

The fourth proportional to 208,151.04, 312,240 and 73,198.56 is: 109,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,151.04 : 312,240 = 73,198.56 : x
  2. Step 2: Convert to fraction form
    208,151.04/312,240 = 73,198.56/x
  3. Step 3: Cross multiply
    208,151.04x = 312,240 × 73,198.56
  4. Step 4: Simplify right side
    208,151.04x = 22,855,518,374.40
  5. Step 5: Solve for x
    x = 22,855,518,374.40/208,151.04
  6. Step 6: Final answer
    x = 109,802.57

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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.