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Finding the Fourth Proportional to 100,633.66, 138,866.04 and 55,309.30

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Solution

The fourth proportional to 100,633.66, 138,866.04 and 55,309.30 is: 76,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,633.66 : 138,866.04 = 55,309.30 : x
  2. Step 2: Convert to fraction form
    100,633.66/138,866.04 = 55,309.30/x
  3. Step 3: Cross multiply
    100,633.66x = 138,866.04 × 55,309.30
  4. Step 4: Simplify right side
    100,633.66x = 7,680,583,466.17
  5. Step 5: Solve for x
    x = 7,680,583,466.17/100,633.66
  6. Step 6: Final answer
    x = 76,322.21

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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.