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Finding the Fourth Proportional to 84,393.81, 126,543.33 and 28,204.32

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Solution

The fourth proportional to 84,393.81, 126,543.33 and 28,204.32 is: 42,290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,393.81 : 126,543.33 = 28,204.32 : x
  2. Step 2: Convert to fraction form
    84,393.81/126,543.33 = 28,204.32/x
  3. Step 3: Cross multiply
    84,393.81x = 126,543.33 × 28,204.32
  4. Step 4: Simplify right side
    84,393.81x = 3,569,068,573.19
  5. Step 5: Solve for x
    x = 3,569,068,573.19/84,393.81
  6. Step 6: Final answer
    x = 42,290.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.