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Finding the Fourth Proportional to 225,128, 337,808.64 and 114,320

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Solution

The fourth proportional to 225,128, 337,808.64 and 114,320 is: 171,539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,128 : 337,808.64 = 114,320 : x
  2. Step 2: Convert to fraction form
    225,128/337,808.64 = 114,320/x
  3. Step 3: Cross multiply
    225,128x = 337,808.64 × 114,320
  4. Step 4: Simplify right side
    225,128x = 38,618,283,724.80
  5. Step 5: Solve for x
    x = 38,618,283,724.80/225,128
  6. Step 6: Final answer
    x = 171,539.23

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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.