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Finding the Fourth Proportional to 208,107.21, 287,200.95 and 117,478.52

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Solution

The fourth proportional to 208,107.21, 287,200.95 and 117,478.52 is: 162,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,107.21 : 287,200.95 = 117,478.52 : x
  2. Step 2: Convert to fraction form
    208,107.21/287,200.95 = 117,478.52/x
  3. Step 3: Cross multiply
    208,107.21x = 287,200.95 × 117,478.52
  4. Step 4: Simplify right side
    208,107.21x = 33,739,942,548.59
  5. Step 5: Solve for x
    x = 33,739,942,548.59/208,107.21
  6. Step 6: Final answer
    x = 162,127.70

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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.