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Finding the Fourth Proportional to 120,093.30, 165,666.06 and 74,764.08

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Solution

The fourth proportional to 120,093.30, 165,666.06 and 74,764.08 is: 103,135.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,093.30 : 165,666.06 = 74,764.08 : x
  2. Step 2: Convert to fraction form
    120,093.30/165,666.06 = 74,764.08/x
  3. Step 3: Cross multiply
    120,093.30x = 165,666.06 × 74,764.08
  4. Step 4: Simplify right side
    120,093.30x = 12,385,870,563.12
  5. Step 5: Solve for x
    x = 12,385,870,563.12/120,093.30
  6. Step 6: Final answer
    x = 103,135.40

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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.