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Finding the Fourth Proportional to 208,202.52, 287,320.40 and 112,709.21

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Solution

The fourth proportional to 208,202.52, 287,320.40 and 112,709.21 is: 155,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.52 : 287,320.40 = 112,709.21 : x
  2. Step 2: Convert to fraction form
    208,202.52/287,320.40 = 112,709.21/x
  3. Step 3: Cross multiply
    208,202.52x = 287,320.40 × 112,709.21
  4. Step 4: Simplify right side
    208,202.52x = 32,383,655,455.64
  5. Step 5: Solve for x
    x = 32,383,655,455.64/208,202.52
  6. Step 6: Final answer
    x = 155,539.21

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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.