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Finding the Fourth Proportional to 107,676, 148,646.76 and 83,422.88

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Solution

The fourth proportional to 107,676, 148,646.76 and 83,422.88 is: 115,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,676 : 148,646.76 = 83,422.88 : x
  2. Step 2: Convert to fraction form
    107,676/148,646.76 = 83,422.88/x
  3. Step 3: Cross multiply
    107,676x = 148,646.76 × 83,422.88
  4. Step 4: Simplify right side
    107,676x = 12,400,540,821.87
  5. Step 5: Solve for x
    x = 12,400,540,821.87/107,676
  6. Step 6: Final answer
    x = 115,165.32

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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.