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Finding the Fourth Proportional to 71,810.52, 107,731.28 and 21,889.27

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Solution

The fourth proportional to 71,810.52, 107,731.28 and 21,889.27 is: 32,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,810.52 : 107,731.28 = 21,889.27 : x
  2. Step 2: Convert to fraction form
    71,810.52/107,731.28 = 21,889.27/x
  3. Step 3: Cross multiply
    71,810.52x = 107,731.28 × 21,889.27
  4. Step 4: Simplify right side
    71,810.52x = 2,358,159,075.37
  5. Step 5: Solve for x
    x = 2,358,159,075.37/71,810.52
  6. Step 6: Final answer
    x = 32,838.63

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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.