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Finding the Fourth Proportional to 82,185.84, 113,249.16 and 56,700

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Solution

The fourth proportional to 82,185.84, 113,249.16 and 56,700 is: 78,130.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185.84 : 113,249.16 = 56,700 : x
  2. Step 2: Convert to fraction form
    82,185.84/113,249.16 = 56,700/x
  3. Step 3: Cross multiply
    82,185.84x = 113,249.16 × 56,700
  4. Step 4: Simplify right side
    82,185.84x = 6,421,227,372
  5. Step 5: Solve for x
    x = 6,421,227,372/82,185.84
  6. Step 6: Final answer
    x = 78,130.58

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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.