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Finding the Fourth Proportional to 208,188.28, 287,299.86 and 112,695.76

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Solution

The fourth proportional to 208,188.28, 287,299.86 and 112,695.76 is: 155,520.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,188.28 : 287,299.86 = 112,695.76 : x
  2. Step 2: Convert to fraction form
    208,188.28/287,299.86 = 112,695.76/x
  3. Step 3: Cross multiply
    208,188.28x = 287,299.86 × 112,695.76
  4. Step 4: Simplify right side
    208,188.28x = 32,377,476,070.59
  5. Step 5: Solve for x
    x = 32,377,476,070.59/208,188.28
  6. Step 6: Final answer
    x = 155,520.17

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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.