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Finding the Fourth Proportional to 208,797.75, 288,140.90 and 118,151.87

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Solution

The fourth proportional to 208,797.75, 288,140.90 and 118,151.87 is: 163,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,797.75 : 288,140.90 = 118,151.87 : x
  2. Step 2: Convert to fraction form
    208,797.75/288,140.90 = 118,151.87/x
  3. Step 3: Cross multiply
    208,797.75x = 288,140.90 × 118,151.87
  4. Step 4: Simplify right side
    208,797.75x = 34,044,384,127.02
  5. Step 5: Solve for x
    x = 34,044,384,127.02/208,797.75
  6. Step 6: Final answer
    x = 163,049.57

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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.