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Finding the Fourth Proportional to 208,205.14, 287,320.71 and 112,709.74

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Solution

The fourth proportional to 208,205.14, 287,320.71 and 112,709.74 is: 155,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.14 : 287,320.71 = 112,709.74 : x
  2. Step 2: Convert to fraction form
    208,205.14/287,320.71 = 112,709.74/x
  3. Step 3: Cross multiply
    208,205.14x = 287,320.71 × 112,709.74
  4. Step 4: Simplify right side
    208,205.14x = 32,383,842,520.72
  5. Step 5: Solve for x
    x = 32,383,842,520.72/208,205.14
  6. Step 6: Final answer
    x = 155,538.15

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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.