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Finding the Fourth Proportional to 208,186.67, 287,280.87 and 117,564.68

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Solution

The fourth proportional to 208,186.67, 287,280.87 and 117,564.68 is: 162,229.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,186.67 : 287,280.87 = 117,564.68 : x
  2. Step 2: Convert to fraction form
    208,186.67/287,280.87 = 117,564.68/x
  3. Step 3: Cross multiply
    208,186.67x = 287,280.87 × 117,564.68
  4. Step 4: Simplify right side
    208,186.67x = 33,774,083,551.67
  5. Step 5: Solve for x
    x = 33,774,083,551.67/208,186.67
  6. Step 6: Final answer
    x = 162,229.81

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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.