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Finding the Fourth Proportional to 208,156.90, 287,263.47 and 127,568.85

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Solution

The fourth proportional to 208,156.90, 287,263.47 and 127,568.85 is: 176,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.90 : 287,263.47 = 127,568.85 : x
  2. Step 2: Convert to fraction form
    208,156.90/287,263.47 = 127,568.85/x
  3. Step 3: Cross multiply
    208,156.90x = 287,263.47 × 127,568.85
  4. Step 4: Simplify right side
    208,156.90x = 36,645,870,993.29
  5. Step 5: Solve for x
    x = 36,645,870,993.29/208,156.90
  6. Step 6: Final answer
    x = 176,049.28

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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.