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Finding the Fourth Proportional to 78,219.77, 107,944.10 and 45,955.73

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Solution

The fourth proportional to 78,219.77, 107,944.10 and 45,955.73 is: 63,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219.77 : 107,944.10 = 45,955.73 : x
  2. Step 2: Convert to fraction form
    78,219.77/107,944.10 = 45,955.73/x
  3. Step 3: Cross multiply
    78,219.77x = 107,944.10 × 45,955.73
  4. Step 4: Simplify right side
    78,219.77x = 4,960,650,299.44
  5. Step 5: Solve for x
    x = 4,960,650,299.44/78,219.77
  6. Step 6: Final answer
    x = 63,419.40

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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.