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Finding the Fourth Proportional to 208,307.94, 287,493.57 and 127,721.22

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Solution

The fourth proportional to 208,307.94, 287,493.57 and 127,721.22 is: 176,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,307.94 : 287,493.57 = 127,721.22 : x
  2. Step 2: Convert to fraction form
    208,307.94/287,493.57 = 127,721.22/x
  3. Step 3: Cross multiply
    208,307.94x = 287,493.57 × 127,721.22
  4. Step 4: Simplify right side
    208,307.94x = 36,719,029,502.56
  5. Step 5: Solve for x
    x = 36,719,029,502.56/208,307.94
  6. Step 6: Final answer
    x = 176,272.83

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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.