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Finding the Fourth Proportional to 66,762, 100,065.24 and 37,165.68

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Solution

The fourth proportional to 66,762, 100,065.24 and 37,165.68 is: 55,705.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,762 : 100,065.24 = 37,165.68 : x
  2. Step 2: Convert to fraction form
    66,762/100,065.24 = 37,165.68/x
  3. Step 3: Cross multiply
    66,762x = 100,065.24 × 37,165.68
  4. Step 4: Simplify right side
    66,762x = 3,718,992,688.96
  5. Step 5: Solve for x
    x = 3,718,992,688.96/66,762
  6. Step 6: Final answer
    x = 55,705.23

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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.