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Finding the Fourth Proportional to 73,162.24, 100,963.36 and 39,628

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Solution

The fourth proportional to 73,162.24, 100,963.36 and 39,628 is: 54,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,162.24 : 100,963.36 = 39,628 : x
  2. Step 2: Convert to fraction form
    73,162.24/100,963.36 = 39,628/x
  3. Step 3: Cross multiply
    73,162.24x = 100,963.36 × 39,628
  4. Step 4: Simplify right side
    73,162.24x = 4,000,976,030.08
  5. Step 5: Solve for x
    x = 4,000,976,030.08/73,162.24
  6. Step 6: Final answer
    x = 54,686.35

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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.