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Finding the Fourth Proportional to 82,482.50, 113,919.10 and 55,578.34

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Solution

The fourth proportional to 82,482.50, 113,919.10 and 55,578.34 is: 76,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,482.50 : 113,919.10 = 55,578.34 : x
  2. Step 2: Convert to fraction form
    82,482.50/113,919.10 = 55,578.34/x
  3. Step 3: Cross multiply
    82,482.50x = 113,919.10 × 55,578.34
  4. Step 4: Simplify right side
    82,482.50x = 6,331,434,472.29
  5. Step 5: Solve for x
    x = 6,331,434,472.29/82,482.50
  6. Step 6: Final answer
    x = 76,760.94

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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.