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Finding the Fourth Proportional to 73,125, 109,688.10 and 17,721

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Solution

The fourth proportional to 73,125, 109,688.10 and 17,721 is: 26,581.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,125 : 109,688.10 = 17,721 : x
  2. Step 2: Convert to fraction form
    73,125/109,688.10 = 17,721/x
  3. Step 3: Cross multiply
    73,125x = 109,688.10 × 17,721
  4. Step 4: Simplify right side
    73,125x = 1,943,782,820.10
  5. Step 5: Solve for x
    x = 1,943,782,820.10/73,125
  6. Step 6: Final answer
    x = 26,581.65

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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.