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Finding the Fourth Proportional to 82,478.99, 113,914.28 and 55,574.84

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Solution

The fourth proportional to 82,478.99, 113,914.28 and 55,574.84 is: 76,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,478.99 : 113,914.28 = 55,574.84 : x
  2. Step 2: Convert to fraction form
    82,478.99/113,914.28 = 55,574.84/x
  3. Step 3: Cross multiply
    82,478.99x = 113,914.28 × 55,574.84
  4. Step 4: Simplify right side
    82,478.99x = 6,330,767,884.72
  5. Step 5: Solve for x
    x = 6,330,767,884.72/82,478.99
  6. Step 6: Final answer
    x = 76,756.13

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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.