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Finding the Fourth Proportional to 55,912, 77,158.56 and 30,761.50

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Solution

The fourth proportional to 55,912, 77,158.56 and 30,761.50 is: 42,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,912 : 77,158.56 = 30,761.50 : x
  2. Step 2: Convert to fraction form
    55,912/77,158.56 = 30,761.50/x
  3. Step 3: Cross multiply
    55,912x = 77,158.56 × 30,761.50
  4. Step 4: Simplify right side
    55,912x = 2,373,513,043.44
  5. Step 5: Solve for x
    x = 2,373,513,043.44/55,912
  6. Step 6: Final answer
    x = 42,450.87

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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.