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Finding the Fourth Proportional to 56,385, 77,811.32 and 34,029

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Solution

The fourth proportional to 56,385, 77,811.32 and 34,029 is: 46,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,385 : 77,811.32 = 34,029 : x
  2. Step 2: Convert to fraction form
    56,385/77,811.32 = 34,029/x
  3. Step 3: Cross multiply
    56,385x = 77,811.32 × 34,029
  4. Step 4: Simplify right side
    56,385x = 2,647,841,408.28
  5. Step 5: Solve for x
    x = 2,647,841,408.28/56,385
  6. Step 6: Final answer
    x = 46,960.03

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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.