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Finding the Fourth Proportional to 208,524.30, 287,764.02 and 113,030.56

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Solution

The fourth proportional to 208,524.30, 287,764.02 and 113,030.56 is: 155,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,524.30 : 287,764.02 = 113,030.56 : x
  2. Step 2: Convert to fraction form
    208,524.30/287,764.02 = 113,030.56/x
  3. Step 3: Cross multiply
    208,524.30x = 287,764.02 × 113,030.56
  4. Step 4: Simplify right side
    208,524.30x = 32,526,128,328.45
  5. Step 5: Solve for x
    x = 32,526,128,328.45/208,524.30
  6. Step 6: Final answer
    x = 155,982.44

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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.