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Finding the Fourth Proportional to 54,856.52, 75,702 and 30,984.74

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Solution

The fourth proportional to 54,856.52, 75,702 and 30,984.74 is: 42,758.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,856.52 : 75,702 = 30,984.74 : x
  2. Step 2: Convert to fraction form
    54,856.52/75,702 = 30,984.74/x
  3. Step 3: Cross multiply
    54,856.52x = 75,702 × 30,984.74
  4. Step 4: Simplify right side
    54,856.52x = 2,345,606,787.48
  5. Step 5: Solve for x
    x = 2,345,606,787.48/54,856.52
  6. Step 6: Final answer
    x = 42,758.94

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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.