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Finding the Fourth Proportional to 82,480, 113,822.40 and 44,754.25

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Solution

The fourth proportional to 82,480, 113,822.40 and 44,754.25 is: 61,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,480 : 113,822.40 = 44,754.25 : x
  2. Step 2: Convert to fraction form
    82,480/113,822.40 = 44,754.25/x
  3. Step 3: Cross multiply
    82,480x = 113,822.40 × 44,754.25
  4. Step 4: Simplify right side
    82,480x = 5,094,036,145.20
  5. Step 5: Solve for x
    x = 5,094,036,145.20/82,480
  6. Step 6: Final answer
    x = 61,760.87

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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.