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Finding the Fourth Proportional to 55,934, 77,188.94 and 30,782.96

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Solution

The fourth proportional to 55,934, 77,188.94 and 30,782.96 is: 42,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,934 : 77,188.94 = 30,782.96 : x
  2. Step 2: Convert to fraction form
    55,934/77,188.94 = 30,782.96/x
  3. Step 3: Cross multiply
    55,934x = 77,188.94 × 30,782.96
  4. Step 4: Simplify right side
    55,934x = 2,376,104,052.46
  5. Step 5: Solve for x
    x = 2,376,104,052.46/55,934
  6. Step 6: Final answer
    x = 42,480.50

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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.