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Finding the Fourth Proportional to 71,953.82, 107,921.01 and 19,366.46

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Solution

The fourth proportional to 71,953.82, 107,921.01 and 19,366.46 is: 29,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,953.82 : 107,921.01 = 19,366.46 : x
  2. Step 2: Convert to fraction form
    71,953.82/107,921.01 = 19,366.46/x
  3. Step 3: Cross multiply
    71,953.82x = 107,921.01 × 19,366.46
  4. Step 4: Simplify right side
    71,953.82x = 2,090,047,752.11
  5. Step 5: Solve for x
    x = 2,090,047,752.11/71,953.82
  6. Step 6: Final answer
    x = 29,047.07

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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.