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Finding the Fourth Proportional to 208,362.70, 287,540.51 and 112,869.37

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Solution

The fourth proportional to 208,362.70, 287,540.51 and 112,869.37 is: 155,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,362.70 : 287,540.51 = 112,869.37 : x
  2. Step 2: Convert to fraction form
    208,362.70/287,540.51 = 112,869.37/x
  3. Step 3: Cross multiply
    208,362.70x = 287,540.51 × 112,869.37
  4. Step 4: Simplify right side
    208,362.70x = 32,454,516,213.18
  5. Step 5: Solve for x
    x = 32,454,516,213.18/208,362.70
  6. Step 6: Final answer
    x = 155,759.72

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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.