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Finding the Fourth Proportional to 55,910, 77,155.80 and 30,758.96

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Solution

The fourth proportional to 55,910, 77,155.80 and 30,758.96 is: 42,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,910 : 77,155.80 = 30,758.96 : x
  2. Step 2: Convert to fraction form
    55,910/77,155.80 = 30,758.96/x
  3. Step 3: Cross multiply
    55,910x = 77,155.80 × 30,758.96
  4. Step 4: Simplify right side
    55,910x = 2,373,232,165.97
  5. Step 5: Solve for x
    x = 2,373,232,165.97/55,910
  6. Step 6: Final answer
    x = 42,447.36

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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.