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Finding the Fourth Proportional to 78,284.75, 108,029.81 and 42,473.39

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Solution

The fourth proportional to 78,284.75, 108,029.81 and 42,473.39 is: 58,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.75 : 108,029.81 = 42,473.39 : x
  2. Step 2: Convert to fraction form
    78,284.75/108,029.81 = 42,473.39/x
  3. Step 3: Cross multiply
    78,284.75x = 108,029.81 × 42,473.39
  4. Step 4: Simplify right side
    78,284.75x = 4,588,392,039.39
  5. Step 5: Solve for x
    x = 4,588,392,039.39/78,284.75
  6. Step 6: Final answer
    x = 58,611.57

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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.