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Finding the Fourth Proportional to 82,458.75, 113,722.92 and 63,384.78

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Solution

The fourth proportional to 82,458.75, 113,722.92 and 63,384.78 is: 87,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,458.75 : 113,722.92 = 63,384.78 : x
  2. Step 2: Convert to fraction form
    82,458.75/113,722.92 = 63,384.78/x
  3. Step 3: Cross multiply
    82,458.75x = 113,722.92 × 63,384.78
  4. Step 4: Simplify right side
    82,458.75x = 7,208,302,265.16
  5. Step 5: Solve for x
    x = 7,208,302,265.16/82,458.75
  6. Step 6: Final answer
    x = 87,417.07

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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.