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Finding the Fourth Proportional to 208,836.80, 288,124.64 and 133,429.44

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Solution

The fourth proportional to 208,836.80, 288,124.64 and 133,429.44 is: 184,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,836.80 : 288,124.64 = 133,429.44 : x
  2. Step 2: Convert to fraction form
    208,836.80/288,124.64 = 133,429.44/x
  3. Step 3: Cross multiply
    208,836.80x = 288,124.64 × 133,429.44
  4. Step 4: Simplify right side
    208,836.80x = 38,444,309,365.40
  5. Step 5: Solve for x
    x = 38,444,309,365.40/208,836.80
  6. Step 6: Final answer
    x = 184,087.81

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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.