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Finding the Fourth Proportional to 120,215.04, 165,893.76 and 66,503.04

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Solution

The fourth proportional to 120,215.04, 165,893.76 and 66,503.04 is: 91,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,215.04 : 165,893.76 = 66,503.04 : x
  2. Step 2: Convert to fraction form
    120,215.04/165,893.76 = 66,503.04/x
  3. Step 3: Cross multiply
    120,215.04x = 165,893.76 × 66,503.04
  4. Step 4: Simplify right side
    120,215.04x = 11,032,439,357.03
  5. Step 5: Solve for x
    x = 11,032,439,357.03/120,215.04
  6. Step 6: Final answer
    x = 91,772.54

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1.5x scale

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.