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Finding the Fourth Proportional to 120,152.64, 165,805.44 and 65,703.76

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Solution

The fourth proportional to 120,152.64, 165,805.44 and 65,703.76 is: 90,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,152.64 : 165,805.44 = 65,703.76 : x
  2. Step 2: Convert to fraction form
    120,152.64/165,805.44 = 65,703.76/x
  3. Step 3: Cross multiply
    120,152.64x = 165,805.44 × 65,703.76
  4. Step 4: Simplify right side
    120,152.64x = 10,894,040,836.45
  5. Step 5: Solve for x
    x = 10,894,040,836.45/120,152.64
  6. Step 6: Final answer
    x = 90,668.34

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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.