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Finding the Fourth Proportional to 55,978.94, 77,247.44 and 30,828.44

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Solution

The fourth proportional to 55,978.94, 77,247.44 and 30,828.44 is: 42,541.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978.94 : 77,247.44 = 30,828.44 : x
  2. Step 2: Convert to fraction form
    55,978.94/77,247.44 = 30,828.44/x
  3. Step 3: Cross multiply
    55,978.94x = 77,247.44 × 30,828.44
  4. Step 4: Simplify right side
    55,978.94x = 2,381,418,108.17
  5. Step 5: Solve for x
    x = 2,381,418,108.17/55,978.94
  6. Step 6: Final answer
    x = 42,541.32

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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.