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Finding the Fourth Proportional to 208,143.27, 287,238.56 and 112,649.94

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Solution

The fourth proportional to 208,143.27, 287,238.56 and 112,649.94 is: 155,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,143.27 : 287,238.56 = 112,649.94 : x
  2. Step 2: Convert to fraction form
    208,143.27/287,238.56 = 112,649.94/x
  3. Step 3: Cross multiply
    208,143.27x = 287,238.56 × 112,649.94
  4. Step 4: Simplify right side
    208,143.27x = 32,357,405,986.44
  5. Step 5: Solve for x
    x = 32,357,405,986.44/208,143.27
  6. Step 6: Final answer
    x = 155,457.37

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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.