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Finding the Fourth Proportional to 133,066.90, 199,746.15 and 83,203.30

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Solution

The fourth proportional to 133,066.90, 199,746.15 and 83,203.30 is: 124,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,066.90 : 199,746.15 = 83,203.30 : x
  2. Step 2: Convert to fraction form
    133,066.90/199,746.15 = 83,203.30/x
  3. Step 3: Cross multiply
    133,066.90x = 199,746.15 × 83,203.30
  4. Step 4: Simplify right side
    133,066.90x = 16,619,538,842.30
  5. Step 5: Solve for x
    x = 16,619,538,842.30/133,066.90
  6. Step 6: Final answer
    x = 124,896.11

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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.