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Finding the Fourth Proportional to 149,132.81, 205,803.32 and 82,064.81

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Solution

The fourth proportional to 149,132.81, 205,803.32 and 82,064.81 is: 113,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,132.81 : 205,803.32 = 82,064.81 : x
  2. Step 2: Convert to fraction form
    149,132.81/205,803.32 = 82,064.81/x
  3. Step 3: Cross multiply
    149,132.81x = 205,803.32 × 82,064.81
  4. Step 4: Simplify right side
    149,132.81x = 16,889,210,457.35
  5. Step 5: Solve for x
    x = 16,889,210,457.35/149,132.81
  6. Step 6: Final answer
    x = 113,249.46

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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.