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Finding the Fourth Proportional to 208,097.10, 287,175 and 117,456.90

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Solution

The fourth proportional to 208,097.10, 287,175 and 117,456.90 is: 162,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,097.10 : 287,175 = 117,456.90 : x
  2. Step 2: Convert to fraction form
    208,097.10/287,175 = 117,456.90/x
  3. Step 3: Cross multiply
    208,097.10x = 287,175 × 117,456.90
  4. Step 4: Simplify right side
    208,097.10x = 33,730,685,257.50
  5. Step 5: Solve for x
    x = 33,730,685,257.50/208,097.10
  6. Step 6: Final answer
    x = 162,091.09

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1.5x scale

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.