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Finding the Fourth Proportional to 82,455.84, 113,718.74 and 63,381.83

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Solution

The fourth proportional to 82,455.84, 113,718.74 and 63,381.83 is: 87,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,455.84 : 113,718.74 = 63,381.83 : x
  2. Step 2: Convert to fraction form
    82,455.84/113,718.74 = 63,381.83/x
  3. Step 3: Cross multiply
    82,455.84x = 113,718.74 × 63,381.83
  4. Step 4: Simplify right side
    82,455.84x = 7,207,700,960.99
  5. Step 5: Solve for x
    x = 7,207,700,960.99/82,455.84
  6. Step 6: Final answer
    x = 87,412.86

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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.