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Finding the Fourth Proportional to 55,978.36, 77,249.10 and 30,827.32

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Solution

The fourth proportional to 55,978.36, 77,249.10 and 30,827.32 is: 42,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,978.36 : 77,249.10 = 30,827.32 : x
  2. Step 2: Convert to fraction form
    55,978.36/77,249.10 = 30,827.32/x
  3. Step 3: Cross multiply
    55,978.36x = 77,249.10 × 30,827.32
  4. Step 4: Simplify right side
    55,978.36x = 2,381,382,725.41
  5. Step 5: Solve for x
    x = 2,381,382,725.41/55,978.36
  6. Step 6: Final answer
    x = 42,541.13

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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.