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Finding the Fourth Proportional to 208,224.88, 287,350.40 and 112,731.55

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Solution

The fourth proportional to 208,224.88, 287,350.40 and 112,731.55 is: 155,569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224.88 : 287,350.40 = 112,731.55 : x
  2. Step 2: Convert to fraction form
    208,224.88/287,350.40 = 112,731.55/x
  3. Step 3: Cross multiply
    208,224.88x = 287,350.40 × 112,731.55
  4. Step 4: Simplify right side
    208,224.88x = 32,393,455,548.57
  5. Step 5: Solve for x
    x = 32,393,455,548.57/208,224.88
  6. Step 6: Final answer
    x = 155,569.57

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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.