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Finding the Fourth Proportional to 208,728.98, 287,868.15 and 160,447.76

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Solution

The fourth proportional to 208,728.98, 287,868.15 and 160,447.76 is: 221,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,728.98 : 287,868.15 = 160,447.76 : x
  2. Step 2: Convert to fraction form
    208,728.98/287,868.15 = 160,447.76/x
  3. Step 3: Cross multiply
    208,728.98x = 287,868.15 × 160,447.76
  4. Step 4: Simplify right side
    208,728.98x = 46,187,800,743.90
  5. Step 5: Solve for x
    x = 46,187,800,743.90/208,728.98
  6. Step 6: Final answer
    x = 221,281.21

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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.