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Finding the Fourth Proportional to 208,202.69, 287,319.65 and 112,709.31

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Solution

The fourth proportional to 208,202.69, 287,319.65 and 112,709.31 is: 155,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.69 : 287,319.65 = 112,709.31 : x
  2. Step 2: Convert to fraction form
    208,202.69/287,319.65 = 112,709.31/x
  3. Step 3: Cross multiply
    208,202.69x = 287,319.65 × 112,709.31
  4. Step 4: Simplify right side
    208,202.69x = 32,383,598,937.40
  5. Step 5: Solve for x
    x = 32,383,598,937.40/208,202.69
  6. Step 6: Final answer
    x = 155,538.82

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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.