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Finding the Fourth Proportional to 208,407.60, 287,524.80 and 136,827.36

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Solution

The fourth proportional to 208,407.60, 287,524.80 and 136,827.36 is: 188,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,407.60 : 287,524.80 = 136,827.36 : x
  2. Step 2: Convert to fraction form
    208,407.60/287,524.80 = 136,827.36/x
  3. Step 3: Cross multiply
    208,407.60x = 287,524.80 × 136,827.36
  4. Step 4: Simplify right side
    208,407.60x = 39,341,259,318.53
  5. Step 5: Solve for x
    x = 39,341,259,318.53/208,407.60
  6. Step 6: Final answer
    x = 188,770.75

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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.