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Finding the Fourth Proportional to 208,646.64, 287,887.32 and 123,791.76

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Solution

The fourth proportional to 208,646.64, 287,887.32 and 123,791.76 is: 170,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,646.64 : 287,887.32 = 123,791.76 : x
  2. Step 2: Convert to fraction form
    208,646.64/287,887.32 = 123,791.76/x
  3. Step 3: Cross multiply
    208,646.64x = 287,887.32 × 123,791.76
  4. Step 4: Simplify right side
    208,646.64x = 35,638,078,024.48
  5. Step 5: Solve for x
    x = 35,638,078,024.48/208,646.64
  6. Step 6: Final answer
    x = 170,805.90

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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.