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Finding the Fourth Proportional to 100,425.58, 138,584.84 and 56,222.64

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Solution

The fourth proportional to 100,425.58, 138,584.84 and 56,222.64 is: 77,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,425.58 : 138,584.84 = 56,222.64 : x
  2. Step 2: Convert to fraction form
    100,425.58/138,584.84 = 56,222.64/x
  3. Step 3: Cross multiply
    100,425.58x = 138,584.84 × 56,222.64
  4. Step 4: Simplify right side
    100,425.58x = 7,791,606,229.03
  5. Step 5: Solve for x
    x = 7,791,606,229.03/100,425.58
  6. Step 6: Final answer
    x = 77,585.87

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1.5x scale

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.