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Finding the Fourth Proportional to 66,039.81, 99,057.93 and 18,658.16

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Solution

The fourth proportional to 66,039.81, 99,057.93 and 18,658.16 is: 27,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,039.81 : 99,057.93 = 18,658.16 : x
  2. Step 2: Convert to fraction form
    66,039.81/99,057.93 = 18,658.16/x
  3. Step 3: Cross multiply
    66,039.81x = 99,057.93 × 18,658.16
  4. Step 4: Simplify right side
    66,039.81x = 1,848,238,707.21
  5. Step 5: Solve for x
    x = 1,848,238,707.21/66,039.81
  6. Step 6: Final answer
    x = 27,986.74

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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.