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Finding the Fourth Proportional to 208,514.53, 287,750.34 and 113,021.20

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Solution

The fourth proportional to 208,514.53, 287,750.34 and 113,021.20 is: 155,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,514.53 : 287,750.34 = 113,021.20 : x
  2. Step 2: Convert to fraction form
    208,514.53/287,750.34 = 113,021.20/x
  3. Step 3: Cross multiply
    208,514.53x = 287,750.34 × 113,021.20
  4. Step 4: Simplify right side
    208,514.53x = 32,521,886,723.35
  5. Step 5: Solve for x
    x = 32,521,886,723.35/208,514.53
  6. Step 6: Final answer
    x = 155,969.41

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1.5x scale

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.