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Finding the Fourth Proportional to 208,203.56, 287,319.61 and 112,709.56

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Solution

The fourth proportional to 208,203.56, 287,319.61 and 112,709.56 is: 155,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,203.56 : 287,319.61 = 112,709.56 : x
  2. Step 2: Convert to fraction form
    208,203.56/287,319.61 = 112,709.56/x
  3. Step 3: Cross multiply
    208,203.56x = 287,319.61 × 112,709.56
  4. Step 4: Simplify right side
    208,203.56x = 32,383,666,822.47
  5. Step 5: Solve for x
    x = 32,383,666,822.47/208,203.56
  6. Step 6: Final answer
    x = 155,538.49

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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.