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Finding the Fourth Proportional to 208,709.28, 287,927.01 and 140,701.41

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Solution

The fourth proportional to 208,709.28, 287,927.01 and 140,701.41 is: 194,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,709.28 : 287,927.01 = 140,701.41 : x
  2. Step 2: Convert to fraction form
    208,709.28/287,927.01 = 140,701.41/x
  3. Step 3: Cross multiply
    208,709.28x = 287,927.01 × 140,701.41
  4. Step 4: Simplify right side
    208,709.28x = 40,511,736,284.08
  5. Step 5: Solve for x
    x = 40,511,736,284.08/208,709.28
  6. Step 6: Final answer
    x = 194,106.06

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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.