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Finding the Fourth Proportional to 208,984.73, 288,444.85 and 137,371.41

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Solution

The fourth proportional to 208,984.73, 288,444.85 and 137,371.41 is: 189,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984.73 : 288,444.85 = 137,371.41 : x
  2. Step 2: Convert to fraction form
    208,984.73/288,444.85 = 137,371.41/x
  3. Step 3: Cross multiply
    208,984.73x = 288,444.85 × 137,371.41
  4. Step 4: Simplify right side
    208,984.73x = 39,624,075,408.31
  5. Step 5: Solve for x
    x = 39,624,075,408.31/208,984.73
  6. Step 6: Final answer
    x = 189,602.73

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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.