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Finding the Fourth Proportional to 208,159.57, 287,267.16 and 127,571.52

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Solution

The fourth proportional to 208,159.57, 287,267.16 and 127,571.52 is: 176,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,159.57 : 287,267.16 = 127,571.52 : x
  2. Step 2: Convert to fraction form
    208,159.57/287,267.16 = 127,571.52/x
  3. Step 3: Cross multiply
    208,159.57x = 287,267.16 × 127,571.52
  4. Step 4: Simplify right side
    208,159.57x = 36,647,108,247.28
  5. Step 5: Solve for x
    x = 36,647,108,247.28/208,159.57
  6. Step 6: Final answer
    x = 176,052.96

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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.