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Finding the Fourth Proportional to 82,186.84, 113,250.54 and 56,701

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Solution

The fourth proportional to 82,186.84, 113,250.54 and 56,701 is: 78,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,186.84 : 113,250.54 = 56,701 : x
  2. Step 2: Convert to fraction form
    82,186.84/113,250.54 = 56,701/x
  3. Step 3: Cross multiply
    82,186.84x = 113,250.54 × 56,701
  4. Step 4: Simplify right side
    82,186.84x = 6,421,418,868.54
  5. Step 5: Solve for x
    x = 6,421,418,868.54/82,186.84
  6. Step 6: Final answer
    x = 78,131.96

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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.