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Finding the Fourth Proportional to 82,178.92, 113,420.82 and 47,718.28

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Solution

The fourth proportional to 82,178.92, 113,420.82 and 47,718.28 is: 65,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178.92 : 113,420.82 = 47,718.28 : x
  2. Step 2: Convert to fraction form
    82,178.92/113,420.82 = 47,718.28/x
  3. Step 3: Cross multiply
    82,178.92x = 113,420.82 × 47,718.28
  4. Step 4: Simplify right side
    82,178.92x = 5,412,246,767.31
  5. Step 5: Solve for x
    x = 5,412,246,767.31/82,178.92
  6. Step 6: Final answer
    x = 65,859.31

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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.