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Finding the Fourth Proportional to 208,122.35, 287,207.78 and 112,629.06

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Solution

The fourth proportional to 208,122.35, 287,207.78 and 112,629.06 is: 155,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,122.35 : 287,207.78 = 112,629.06 : x
  2. Step 2: Convert to fraction form
    208,122.35/287,207.78 = 112,629.06/x
  3. Step 3: Cross multiply
    208,122.35x = 287,207.78 × 112,629.06
  4. Step 4: Simplify right side
    208,122.35x = 32,347,941,722.94
  5. Step 5: Solve for x
    x = 32,347,941,722.94/208,122.35
  6. Step 6: Final answer
    x = 155,427.53

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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.