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Finding the Fourth Proportional to 120,101.67, 165,740.97 and 65,653.92

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Solution

The fourth proportional to 120,101.67, 165,740.97 and 65,653.92 is: 90,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,101.67 : 165,740.97 = 65,653.92 : x
  2. Step 2: Convert to fraction form
    120,101.67/165,740.97 = 65,653.92/x
  3. Step 3: Cross multiply
    120,101.67x = 165,740.97 × 65,653.92
  4. Step 4: Simplify right side
    120,101.67x = 10,881,544,385.10
  5. Step 5: Solve for x
    x = 10,881,544,385.10/120,101.67
  6. Step 6: Final answer
    x = 90,602.77

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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.