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Finding the Fourth Proportional to 208,409.28, 287,606.34 and 112,916.58

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Solution

The fourth proportional to 208,409.28, 287,606.34 and 112,916.58 is: 155,825.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,409.28 : 287,606.34 = 112,916.58 : x
  2. Step 2: Convert to fraction form
    208,409.28/287,606.34 = 112,916.58/x
  3. Step 3: Cross multiply
    208,409.28x = 287,606.34 × 112,916.58
  4. Step 4: Simplify right side
    208,409.28x = 32,475,524,299.12
  5. Step 5: Solve for x
    x = 32,475,524,299.12/208,409.28
  6. Step 6: Final answer
    x = 155,825.71

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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.