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Finding the Fourth Proportional to 72,468.49, 100,007.55 and 43,784.17

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Solution

The fourth proportional to 72,468.49, 100,007.55 and 43,784.17 is: 60,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,468.49 : 100,007.55 = 43,784.17 : x
  2. Step 2: Convert to fraction form
    72,468.49/100,007.55 = 43,784.17/x
  3. Step 3: Cross multiply
    72,468.49x = 100,007.55 × 43,784.17
  4. Step 4: Simplify right side
    72,468.49x = 4,378,747,570.48
  5. Step 5: Solve for x
    x = 4,378,747,570.48/72,468.49
  6. Step 6: Final answer
    x = 60,422.78

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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.