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Finding the Fourth Proportional to 120,139.58, 165,784.44 and 66,417.32

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Solution

The fourth proportional to 120,139.58, 165,784.44 and 66,417.32 is: 91,651.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,139.58 : 165,784.44 = 66,417.32 : x
  2. Step 2: Convert to fraction form
    120,139.58/165,784.44 = 66,417.32/x
  3. Step 3: Cross multiply
    120,139.58x = 165,784.44 × 66,417.32
  4. Step 4: Simplify right side
    120,139.58x = 11,010,958,202.50
  5. Step 5: Solve for x
    x = 11,010,958,202.50/120,139.58
  6. Step 6: Final answer
    x = 91,651.38

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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.