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Finding the Fourth Proportional to 161,338.60, 242,015.82 and 43,011

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Solution

The fourth proportional to 161,338.60, 242,015.82 and 43,011 is: 64,518.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,338.60 : 242,015.82 = 43,011 : x
  2. Step 2: Convert to fraction form
    161,338.60/242,015.82 = 43,011/x
  3. Step 3: Cross multiply
    161,338.60x = 242,015.82 × 43,011
  4. Step 4: Simplify right side
    161,338.60x = 10,409,342,434.02
  5. Step 5: Solve for x
    x = 10,409,342,434.02/161,338.60
  6. Step 6: Final answer
    x = 64,518.61

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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.