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Finding the Fourth Proportional to 51,643, 71,267.34 and 29,287

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Solution

The fourth proportional to 51,643, 71,267.34 and 29,287 is: 40,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,643 : 71,267.34 = 29,287 : x
  2. Step 2: Convert to fraction form
    51,643/71,267.34 = 29,287/x
  3. Step 3: Cross multiply
    51,643x = 71,267.34 × 29,287
  4. Step 4: Simplify right side
    51,643x = 2,087,206,586.58
  5. Step 5: Solve for x
    x = 2,087,206,586.58/51,643
  6. Step 6: Final answer
    x = 40,416.06

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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.