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Finding the Fourth Proportional to 208,144.27, 287,239.94 and 112,650.94

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Solution

The fourth proportional to 208,144.27, 287,239.94 and 112,650.94 is: 155,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144.27 : 287,239.94 = 112,650.94 : x
  2. Step 2: Convert to fraction form
    208,144.27/287,239.94 = 112,650.94/x
  3. Step 3: Cross multiply
    208,144.27x = 287,239.94 × 112,650.94
  4. Step 4: Simplify right side
    208,144.27x = 32,357,849,246.54
  5. Step 5: Solve for x
    x = 32,357,849,246.54/208,144.27
  6. Step 6: Final answer
    x = 155,458.76

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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.