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Finding the Fourth Proportional to 100,308, 138,425.04 and 55,596

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Solution

The fourth proportional to 100,308, 138,425.04 and 55,596 is: 76,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,308 : 138,425.04 = 55,596 : x
  2. Step 2: Convert to fraction form
    100,308/138,425.04 = 55,596/x
  3. Step 3: Cross multiply
    100,308x = 138,425.04 × 55,596
  4. Step 4: Simplify right side
    100,308x = 7,695,878,523.84
  5. Step 5: Solve for x
    x = 7,695,878,523.84/100,308
  6. Step 6: Final answer
    x = 76,722.48

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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.