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Finding the Fourth Proportional to 119,808, 165,335.04 and 66,816

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Solution

The fourth proportional to 119,808, 165,335.04 and 66,816 is: 92,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,808 : 165,335.04 = 66,816 : x
  2. Step 2: Convert to fraction form
    119,808/165,335.04 = 66,816/x
  3. Step 3: Cross multiply
    119,808x = 165,335.04 × 66,816
  4. Step 4: Simplify right side
    119,808x = 11,047,026,032.64
  5. Step 5: Solve for x
    x = 11,047,026,032.64/119,808
  6. Step 6: Final answer
    x = 92,206.08

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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.