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Finding the Fourth Proportional to 66,716.40, 100,065.96 and 25,158

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Solution

The fourth proportional to 66,716.40, 100,065.96 and 25,158 is: 37,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,716.40 : 100,065.96 = 25,158 : x
  2. Step 2: Convert to fraction form
    66,716.40/100,065.96 = 25,158/x
  3. Step 3: Cross multiply
    66,716.40x = 100,065.96 × 25,158
  4. Step 4: Simplify right side
    66,716.40x = 2,517,459,421.68
  5. Step 5: Solve for x
    x = 2,517,459,421.68/66,716.40
  6. Step 6: Final answer
    x = 37,733.74

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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.