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Finding the Fourth Proportional to 84,428, 126,642.12 and 29,024

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Solution

The fourth proportional to 84,428, 126,642.12 and 29,024 is: 43,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,428 : 126,642.12 = 29,024 : x
  2. Step 2: Convert to fraction form
    84,428/126,642.12 = 29,024/x
  3. Step 3: Cross multiply
    84,428x = 126,642.12 × 29,024
  4. Step 4: Simplify right side
    84,428x = 3,675,660,890.88
  5. Step 5: Solve for x
    x = 3,675,660,890.88/84,428
  6. Step 6: Final answer
    x = 43,536.04

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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.