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Finding the Fourth Proportional to 208,504.13, 287,740.11 and 117,854.68

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Solution

The fourth proportional to 208,504.13, 287,740.11 and 117,854.68 is: 162,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,504.13 : 287,740.11 = 117,854.68 : x
  2. Step 2: Convert to fraction form
    208,504.13/287,740.11 = 117,854.68/x
  3. Step 3: Cross multiply
    208,504.13x = 287,740.11 × 117,854.68
  4. Step 4: Simplify right side
    208,504.13x = 33,911,518,849.33
  5. Step 5: Solve for x
    x = 33,911,518,849.33/208,504.13
  6. Step 6: Final answer
    x = 162,641.96

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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.