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Finding the Fourth Proportional to 102,909.66, 154,164.71 and 75,842.82

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Solution

The fourth proportional to 102,909.66, 154,164.71 and 75,842.82 is: 113,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,909.66 : 154,164.71 = 75,842.82 : x
  2. Step 2: Convert to fraction form
    102,909.66/154,164.71 = 75,842.82/x
  3. Step 3: Cross multiply
    102,909.66x = 154,164.71 × 75,842.82
  4. Step 4: Simplify right side
    102,909.66x = 11,692,286,540.49
  5. Step 5: Solve for x
    x = 11,692,286,540.49/102,909.66
  6. Step 6: Final answer
    x = 113,617.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.