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Finding the Fourth Proportional to 208,968.64, 288,383.52 and 117,091.52

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Solution

The fourth proportional to 208,968.64, 288,383.52 and 117,091.52 is: 161,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,968.64 : 288,383.52 = 117,091.52 : x
  2. Step 2: Convert to fraction form
    208,968.64/288,383.52 = 117,091.52/x
  3. Step 3: Cross multiply
    208,968.64x = 288,383.52 × 117,091.52
  4. Step 4: Simplify right side
    208,968.64x = 33,767,264,699.75
  5. Step 5: Solve for x
    x = 33,767,264,699.75/208,968.64
  6. Step 6: Final answer
    x = 161,590.11

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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.