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Finding the Fourth Proportional to 208,114.86, 287,188.56 and 122,062.08

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Solution

The fourth proportional to 208,114.86, 287,188.56 and 122,062.08 is: 168,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,114.86 : 287,188.56 = 122,062.08 : x
  2. Step 2: Convert to fraction form
    208,114.86/287,188.56 = 122,062.08/x
  3. Step 3: Cross multiply
    208,114.86x = 287,188.56 × 122,062.08
  4. Step 4: Simplify right side
    208,114.86x = 35,054,832,985.80
  5. Step 5: Solve for x
    x = 35,054,832,985.80/208,114.86
  6. Step 6: Final answer
    x = 168,439.84

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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.