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Finding the Fourth Proportional to 208,671.17, 287,966.73 and 113,177.88

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Solution

The fourth proportional to 208,671.17, 287,966.73 and 113,177.88 is: 156,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,671.17 : 287,966.73 = 113,177.88 : x
  2. Step 2: Convert to fraction form
    208,671.17/287,966.73 = 113,177.88/x
  3. Step 3: Cross multiply
    208,671.17x = 287,966.73 × 113,177.88
  4. Step 4: Simplify right side
    208,671.17x = 32,591,464,011.93
  5. Step 5: Solve for x
    x = 32,591,464,011.93/208,671.17
  6. Step 6: Final answer
    x = 156,185.76

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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.