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Finding the Fourth Proportional to 208,969.28, 288,379.68 and 113,476.80

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Solution

The fourth proportional to 208,969.28, 288,379.68 and 113,476.80 is: 156,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,969.28 : 288,379.68 = 113,476.80 : x
  2. Step 2: Convert to fraction form
    208,969.28/288,379.68 = 113,476.80/x
  3. Step 3: Cross multiply
    208,969.28x = 288,379.68 × 113,476.80
  4. Step 4: Simplify right side
    208,969.28x = 32,724,403,271.42
  5. Step 5: Solve for x
    x = 32,724,403,271.42/208,969.28
  6. Step 6: Final answer
    x = 156,599.11

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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.