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Finding the Fourth Proportional to 100,601.64, 138,829.80 and 55,282.44

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Solution

The fourth proportional to 100,601.64, 138,829.80 and 55,282.44 is: 76,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,601.64 : 138,829.80 = 55,282.44 : x
  2. Step 2: Convert to fraction form
    100,601.64/138,829.80 = 55,282.44/x
  3. Step 3: Cross multiply
    100,601.64x = 138,829.80 × 55,282.44
  4. Step 4: Simplify right side
    100,601.64x = 7,674,850,088.71
  5. Step 5: Solve for x
    x = 7,674,850,088.71/100,601.64
  6. Step 6: Final answer
    x = 76,289.51

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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.