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Finding the Fourth Proportional to 82,405.98, 113,684.01 and 55,538.70

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Solution

The fourth proportional to 82,405.98, 113,684.01 and 55,538.70 is: 76,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,405.98 : 113,684.01 = 55,538.70 : x
  2. Step 2: Convert to fraction form
    82,405.98/113,684.01 = 55,538.70/x
  3. Step 3: Cross multiply
    82,405.98x = 113,684.01 × 55,538.70
  4. Step 4: Simplify right side
    82,405.98x = 6,313,862,126.19
  5. Step 5: Solve for x
    x = 6,313,862,126.19/82,405.98
  6. Step 6: Final answer
    x = 76,618.98

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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.