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Finding the Fourth Proportional to 221,151.67, 331,164.69 and 146,159.44

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Solution

The fourth proportional to 221,151.67, 331,164.69 and 146,159.44 is: 218,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,151.67 : 331,164.69 = 146,159.44 : x
  2. Step 2: Convert to fraction form
    221,151.67/331,164.69 = 146,159.44/x
  3. Step 3: Cross multiply
    221,151.67x = 331,164.69 × 146,159.44
  4. Step 4: Simplify right side
    221,151.67x = 48,402,845,638.17
  5. Step 5: Solve for x
    x = 48,402,845,638.17/221,151.67
  6. Step 6: Final answer
    x = 218,867.19

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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.