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Finding the Fourth Proportional to 208,376.64, 287,575.20 and 117,743.04

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Solution

The fourth proportional to 208,376.64, 287,575.20 and 117,743.04 is: 162,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,376.64 : 287,575.20 = 117,743.04 : x
  2. Step 2: Convert to fraction form
    208,376.64/287,575.20 = 117,743.04/x
  3. Step 3: Cross multiply
    208,376.64x = 287,575.20 × 117,743.04
  4. Step 4: Simplify right side
    208,376.64x = 33,859,978,276.61
  5. Step 5: Solve for x
    x = 33,859,978,276.61/208,376.64
  6. Step 6: Final answer
    x = 162,494.12

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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.