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Finding the Fourth Proportional to 120,212.91, 165,880.31 and 66,490.47

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Solution

The fourth proportional to 120,212.91, 165,880.31 and 66,490.47 is: 91,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,212.91 : 165,880.31 = 66,490.47 : x
  2. Step 2: Convert to fraction form
    120,212.91/165,880.31 = 66,490.47/x
  3. Step 3: Cross multiply
    120,212.91x = 165,880.31 × 66,490.47
  4. Step 4: Simplify right side
    120,212.91x = 11,029,459,443.19
  5. Step 5: Solve for x
    x = 11,029,459,443.19/120,212.91
  6. Step 6: Final answer
    x = 91,749.38

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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.