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Finding the Fourth Proportional to 221,458, 332,319.84 and 81,230.80

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Solution

The fourth proportional to 221,458, 332,319.84 and 81,230.80 is: 121,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,458 : 332,319.84 = 81,230.80 : x
  2. Step 2: Convert to fraction form
    221,458/332,319.84 = 81,230.80/x
  3. Step 3: Cross multiply
    221,458x = 332,319.84 × 81,230.80
  4. Step 4: Simplify right side
    221,458x = 26,994,606,459.07
  5. Step 5: Solve for x
    x = 26,994,606,459.07/221,458
  6. Step 6: Final answer
    x = 121,894.93

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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.