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Finding the Fourth Proportional to 208,607.41, 287,925.87 and 122,576.50

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Solution

The fourth proportional to 208,607.41, 287,925.87 and 122,576.50 is: 169,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,607.41 : 287,925.87 = 122,576.50 : x
  2. Step 2: Convert to fraction form
    208,607.41/287,925.87 = 122,576.50/x
  3. Step 3: Cross multiply
    208,607.41x = 287,925.87 × 122,576.50
  4. Step 4: Simplify right side
    208,607.41x = 35,292,945,404.06
  5. Step 5: Solve for x
    x = 35,292,945,404.06/208,607.41
  6. Step 6: Final answer
    x = 169,183.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.