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Finding the Fourth Proportional to 120,117.02, 165,752.78 and 66,403

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Solution

The fourth proportional to 120,117.02, 165,752.78 and 66,403 is: 91,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,117.02 : 165,752.78 = 66,403 : x
  2. Step 2: Convert to fraction form
    120,117.02/165,752.78 = 66,403/x
  3. Step 3: Cross multiply
    120,117.02x = 165,752.78 × 66,403
  4. Step 4: Simplify right side
    120,117.02x = 11,006,481,850.34
  5. Step 5: Solve for x
    x = 11,006,481,850.34/120,117.02
  6. Step 6: Final answer
    x = 91,631.33

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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.