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Finding the Fourth Proportional to 208,116.33, 287,200.53 and 112,623.03

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Solution

The fourth proportional to 208,116.33, 287,200.53 and 112,623.03 is: 155,419.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,116.33 : 287,200.53 = 112,623.03 : x
  2. Step 2: Convert to fraction form
    208,116.33/287,200.53 = 112,623.03/x
  3. Step 3: Cross multiply
    208,116.33x = 287,200.53 × 112,623.03
  4. Step 4: Simplify right side
    208,116.33x = 32,345,393,906.21
  5. Step 5: Solve for x
    x = 32,345,393,906.21/208,116.33
  6. Step 6: Final answer
    x = 155,419.78

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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.