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Finding the Fourth Proportional to 82,292.66, 123,434.87 and 28,987.28

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Solution

The fourth proportional to 82,292.66, 123,434.87 and 28,987.28 is: 43,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,292.66 : 123,434.87 = 28,987.28 : x
  2. Step 2: Convert to fraction form
    82,292.66/123,434.87 = 28,987.28/x
  3. Step 3: Cross multiply
    82,292.66x = 123,434.87 × 28,987.28
  4. Step 4: Simplify right side
    82,292.66x = 3,578,040,376.34
  5. Step 5: Solve for x
    x = 3,578,040,376.34/82,292.66
  6. Step 6: Final answer
    x = 43,479.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.