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Finding the Fourth Proportional to 221,455, 305,624.33 and 125,992.45

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Solution

The fourth proportional to 221,455, 305,624.33 and 125,992.45 is: 173,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,455 : 305,624.33 = 125,992.45 : x
  2. Step 2: Convert to fraction form
    221,455/305,624.33 = 125,992.45/x
  3. Step 3: Cross multiply
    221,455x = 305,624.33 × 125,992.45
  4. Step 4: Simplify right side
    221,455x = 38,506,358,116.31
  5. Step 5: Solve for x
    x = 38,506,358,116.31/221,455
  6. Step 6: Final answer
    x = 173,878.93

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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.