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Finding the Fourth Proportional to 208,187.67, 287,282.25 and 117,565.68

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Solution

The fourth proportional to 208,187.67, 287,282.25 and 117,565.68 is: 162,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,187.67 : 287,282.25 = 117,565.68 : x
  2. Step 2: Convert to fraction form
    208,187.67/287,282.25 = 117,565.68/x
  3. Step 3: Cross multiply
    208,187.67x = 287,282.25 × 117,565.68
  4. Step 4: Simplify right side
    208,187.67x = 33,774,533,073.18
  5. Step 5: Solve for x
    x = 33,774,533,073.18/208,187.67
  6. Step 6: Final answer
    x = 162,231.19

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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.