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Finding the Fourth Proportional to 133,130.44, 199,730.22 and 66,567.88

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Solution

The fourth proportional to 133,130.44, 199,730.22 and 66,567.88 is: 99,869.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,130.44 : 199,730.22 = 66,567.88 : x
  2. Step 2: Convert to fraction form
    133,130.44/199,730.22 = 66,567.88/x
  3. Step 3: Cross multiply
    133,130.44x = 199,730.22 × 66,567.88
  4. Step 4: Simplify right side
    133,130.44x = 13,295,617,317.33
  5. Step 5: Solve for x
    x = 13,295,617,317.33/133,130.44
  6. Step 6: Final answer
    x = 99,869.10

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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.