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Finding the Fourth Proportional to 56,433.93, 77,879.69 and 30,942.62

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Solution

The fourth proportional to 56,433.93, 77,879.69 and 30,942.62 is: 42,701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,433.93 : 77,879.69 = 30,942.62 : x
  2. Step 2: Convert to fraction form
    56,433.93/77,879.69 = 30,942.62/x
  3. Step 3: Cross multiply
    56,433.93x = 77,879.69 × 30,942.62
  4. Step 4: Simplify right side
    56,433.93x = 2,409,801,263.99
  5. Step 5: Solve for x
    x = 2,409,801,263.99/56,433.93
  6. Step 6: Final answer
    x = 42,701.29

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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.