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Finding the Fourth Proportional to 151,921, 209,655.30 and 84,857.32

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Solution

The fourth proportional to 151,921, 209,655.30 and 84,857.32 is: 117,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,921 : 209,655.30 = 84,857.32 : x
  2. Step 2: Convert to fraction form
    151,921/209,655.30 = 84,857.32/x
  3. Step 3: Cross multiply
    151,921x = 209,655.30 × 84,857.32
  4. Step 4: Simplify right side
    151,921x = 17,790,786,881.80
  5. Step 5: Solve for x
    x = 17,790,786,881.80/151,921
  6. Step 6: Final answer
    x = 117,105.51

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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.