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Finding the Fourth Proportional to 145,422.94, 200,695.79 and 80,904.33

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Solution

The fourth proportional to 145,422.94, 200,695.79 and 80,904.33 is: 111,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422.94 : 200,695.79 = 80,904.33 : x
  2. Step 2: Convert to fraction form
    145,422.94/200,695.79 = 80,904.33/x
  3. Step 3: Cross multiply
    145,422.94x = 200,695.79 × 80,904.33
  4. Step 4: Simplify right side
    145,422.94x = 16,237,158,960.01
  5. Step 5: Solve for x
    x = 16,237,158,960.01/145,422.94
  6. Step 6: Final answer
    x = 111,654.73

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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.