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Finding the Fourth Proportional to 208,346.36, 287,329 and 136,699.16

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Solution

The fourth proportional to 208,346.36, 287,329 and 136,699.16 is: 188,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,346.36 : 287,329 = 136,699.16 : x
  2. Step 2: Convert to fraction form
    208,346.36/287,329 = 136,699.16/x
  3. Step 3: Cross multiply
    208,346.36x = 287,329 × 136,699.16
  4. Step 4: Simplify right side
    208,346.36x = 39,277,632,943.64
  5. Step 5: Solve for x
    x = 39,277,632,943.64/208,346.36
  6. Step 6: Final answer
    x = 188,520.85

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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.