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Finding the Fourth Proportional to 259,859.60, 389,789.37 and 97,784.12

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Solution

The fourth proportional to 259,859.60, 389,789.37 and 97,784.12 is: 146,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,859.60 : 389,789.37 = 97,784.12 : x
  2. Step 2: Convert to fraction form
    259,859.60/389,789.37 = 97,784.12/x
  3. Step 3: Cross multiply
    259,859.60x = 389,789.37 × 97,784.12
  4. Step 4: Simplify right side
    259,859.60x = 38,115,210,530.80
  5. Step 5: Solve for x
    x = 38,115,210,530.80/259,859.60
  6. Step 6: Final answer
    x = 146,676.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.