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Finding the Fourth Proportional to 208,396, 287,586.60 and 112,903.36

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Solution

The fourth proportional to 208,396, 287,586.60 and 112,903.36 is: 155,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,396 : 287,586.60 = 112,903.36 : x
  2. Step 2: Convert to fraction form
    208,396/287,586.60 = 112,903.36/x
  3. Step 3: Cross multiply
    208,396x = 287,586.60 × 112,903.36
  4. Step 4: Simplify right side
    208,396x = 32,469,493,430.98
  5. Step 5: Solve for x
    x = 32,469,493,430.98/208,396
  6. Step 6: Final answer
    x = 155,806.70

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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.