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Finding the Fourth Proportional to 34,139.80, 51,212.10 and 19,355.80

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Solution

The fourth proportional to 34,139.80, 51,212.10 and 19,355.80 is: 29,035.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,139.80 : 51,212.10 = 19,355.80 : x
  2. Step 2: Convert to fraction form
    34,139.80/51,212.10 = 19,355.80/x
  3. Step 3: Cross multiply
    34,139.80x = 51,212.10 × 19,355.80
  4. Step 4: Simplify right side
    34,139.80x = 991,251,165.18
  5. Step 5: Solve for x
    x = 991,251,165.18/34,139.80
  6. Step 6: Final answer
    x = 29,035.06

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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.