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Finding the Fourth Proportional to 208,380.22, 287,564.42 and 112,887.30

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Solution

The fourth proportional to 208,380.22, 287,564.42 and 112,887.30 is: 155,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,380.22 : 287,564.42 = 112,887.30 : x
  2. Step 2: Convert to fraction form
    208,380.22/287,564.42 = 112,887.30/x
  3. Step 3: Cross multiply
    208,380.22x = 287,564.42 × 112,887.30
  4. Step 4: Simplify right side
    208,380.22x = 32,462,370,949.87
  5. Step 5: Solve for x
    x = 32,462,370,949.87/208,380.22
  6. Step 6: Final answer
    x = 155,784.32

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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.