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Finding the Fourth Proportional to 208,221.41, 287,346.20 and 112,728.48

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Solution

The fourth proportional to 208,221.41, 287,346.20 and 112,728.48 is: 155,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,221.41 : 287,346.20 = 112,728.48 : x
  2. Step 2: Convert to fraction form
    208,221.41/287,346.20 = 112,728.48/x
  3. Step 3: Cross multiply
    208,221.41x = 287,346.20 × 112,728.48
  4. Step 4: Simplify right side
    208,221.41x = 32,392,099,796.13
  5. Step 5: Solve for x
    x = 32,392,099,796.13/208,221.41
  6. Step 6: Final answer
    x = 155,565.66

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1.5x scale

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.