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Finding the Fourth Proportional to 208,822.32, 288,173.30 and 113,326.97

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Solution

The fourth proportional to 208,822.32, 288,173.30 and 113,326.97 is: 156,390.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,822.32 : 288,173.30 = 113,326.97 : x
  2. Step 2: Convert to fraction form
    208,822.32/288,173.30 = 113,326.97/x
  3. Step 3: Cross multiply
    208,822.32x = 288,173.30 × 113,326.97
  4. Step 4: Simplify right side
    208,822.32x = 32,657,804,916.40
  5. Step 5: Solve for x
    x = 32,657,804,916.40/208,822.32
  6. Step 6: Final answer
    x = 156,390.39

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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.