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Finding the Fourth Proportional to 55,883.68, 77,118.44 and 30,731.44

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Solution

The fourth proportional to 55,883.68, 77,118.44 and 30,731.44 is: 42,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,883.68 : 77,118.44 = 30,731.44 : x
  2. Step 2: Convert to fraction form
    55,883.68/77,118.44 = 30,731.44/x
  3. Step 3: Cross multiply
    55,883.68x = 77,118.44 × 30,731.44
  4. Step 4: Simplify right side
    55,883.68x = 2,369,960,711.75
  5. Step 5: Solve for x
    x = 2,369,960,711.75/55,883.68
  6. Step 6: Final answer
    x = 42,408.82

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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.