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Finding the Fourth Proportional to 208,608.41, 287,927.25 and 122,577.50

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Solution

The fourth proportional to 208,608.41, 287,927.25 and 122,577.50 is: 169,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,608.41 : 287,927.25 = 122,577.50 : x
  2. Step 2: Convert to fraction form
    208,608.41/287,927.25 = 122,577.50/x
  3. Step 3: Cross multiply
    208,608.41x = 287,927.25 × 122,577.50
  4. Step 4: Simplify right side
    208,608.41x = 35,293,402,486.88
  5. Step 5: Solve for x
    x = 35,293,402,486.88/208,608.41
  6. Step 6: Final answer
    x = 169,184.95

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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.