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Finding the Fourth Proportional to 120,148.62, 165,798 and 66,429.42

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Solution

The fourth proportional to 120,148.62, 165,798 and 66,429.42 is: 91,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,148.62 : 165,798 = 66,429.42 : x
  2. Step 2: Convert to fraction form
    120,148.62/165,798 = 66,429.42/x
  3. Step 3: Cross multiply
    120,148.62x = 165,798 × 66,429.42
  4. Step 4: Simplify right side
    120,148.62x = 11,013,864,977.16
  5. Step 5: Solve for x
    x = 11,013,864,977.16/120,148.62
  6. Step 6: Final answer
    x = 91,668.68

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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.