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Finding the Fourth Proportional to 208,930.24, 288,322.08 and 113,435

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Solution

The fourth proportional to 208,930.24, 288,322.08 and 113,435 is: 156,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,930.24 : 288,322.08 = 113,435 : x
  2. Step 2: Convert to fraction form
    208,930.24/288,322.08 = 113,435/x
  3. Step 3: Cross multiply
    208,930.24x = 288,322.08 × 113,435
  4. Step 4: Simplify right side
    208,930.24x = 32,705,815,144.80
  5. Step 5: Solve for x
    x = 32,705,815,144.80/208,930.24
  6. Step 6: Final answer
    x = 156,539.40

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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.