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Finding the Fourth Proportional to 208,596.56, 287,862 and 113,102.96

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Solution

The fourth proportional to 208,596.56, 287,862 and 113,102.96 is: 156,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,596.56 : 287,862 = 113,102.96 : x
  2. Step 2: Convert to fraction form
    208,596.56/287,862 = 113,102.96/x
  3. Step 3: Cross multiply
    208,596.56x = 287,862 × 113,102.96
  4. Step 4: Simplify right side
    208,596.56x = 32,558,044,271.52
  5. Step 5: Solve for x
    x = 32,558,044,271.52/208,596.56
  6. Step 6: Final answer
    x = 156,081.41

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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.