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Finding the Fourth Proportional to 55,936, 77,192.90 and 30,785.50

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Solution

The fourth proportional to 55,936, 77,192.90 and 30,785.50 is: 42,484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,936 : 77,192.90 = 30,785.50 : x
  2. Step 2: Convert to fraction form
    55,936/77,192.90 = 30,785.50/x
  3. Step 3: Cross multiply
    55,936x = 77,192.90 × 30,785.50
  4. Step 4: Simplify right side
    55,936x = 2,376,422,022.95
  5. Step 5: Solve for x
    x = 2,376,422,022.95/55,936
  6. Step 6: Final answer
    x = 42,484.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.