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Finding the Fourth Proportional to 208,448.64, 287,660.16 and 122,465.52

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Solution

The fourth proportional to 208,448.64, 287,660.16 and 122,465.52 is: 169,003.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,448.64 : 287,660.16 = 122,465.52 : x
  2. Step 2: Convert to fraction form
    208,448.64/287,660.16 = 122,465.52/x
  3. Step 3: Cross multiply
    208,448.64x = 287,660.16 × 122,465.52
  4. Step 4: Simplify right side
    208,448.64x = 35,228,451,077.68
  5. Step 5: Solve for x
    x = 35,228,451,077.68/208,448.64
  6. Step 6: Final answer
    x = 169,003.03

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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.