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Finding the Fourth Proportional to 51,528, 71,108.64 and 29,172

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Solution

The fourth proportional to 51,528, 71,108.64 and 29,172 is: 40,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,528 : 71,108.64 = 29,172 : x
  2. Step 2: Convert to fraction form
    51,528/71,108.64 = 29,172/x
  3. Step 3: Cross multiply
    51,528x = 71,108.64 × 29,172
  4. Step 4: Simplify right side
    51,528x = 2,074,381,246.08
  5. Step 5: Solve for x
    x = 2,074,381,246.08/51,528
  6. Step 6: Final answer
    x = 40,257.36

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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.