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Finding the Fourth Proportional to 82,889.88, 124,371.24 and 30,307.20

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Solution

The fourth proportional to 82,889.88, 124,371.24 and 30,307.20 is: 45,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,889.88 : 124,371.24 = 30,307.20 : x
  2. Step 2: Convert to fraction form
    82,889.88/124,371.24 = 30,307.20/x
  3. Step 3: Cross multiply
    82,889.88x = 124,371.24 × 30,307.20
  4. Step 4: Simplify right side
    82,889.88x = 3,769,344,044.93
  5. Step 5: Solve for x
    x = 3,769,344,044.93/82,889.88
  6. Step 6: Final answer
    x = 45,474.12

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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.