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Finding the Fourth Proportional to 78,037.82, 107,673.46 and 47,410.30

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Solution

The fourth proportional to 78,037.82, 107,673.46 and 47,410.30 is: 65,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,037.82 : 107,673.46 = 47,410.30 : x
  2. Step 2: Convert to fraction form
    78,037.82/107,673.46 = 47,410.30/x
  3. Step 3: Cross multiply
    78,037.82x = 107,673.46 × 47,410.30
  4. Step 4: Simplify right side
    78,037.82x = 5,104,831,040.64
  5. Step 5: Solve for x
    x = 5,104,831,040.64/78,037.82
  6. Step 6: Final answer
    x = 65,414.83

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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.