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Finding the Fourth Proportional to 54,355.46, 74,978.76 and 34,180.40

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Solution

The fourth proportional to 54,355.46, 74,978.76 and 34,180.40 is: 47,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,355.46 : 74,978.76 = 34,180.40 : x
  2. Step 2: Convert to fraction form
    54,355.46/74,978.76 = 34,180.40/x
  3. Step 3: Cross multiply
    54,355.46x = 74,978.76 × 34,180.40
  4. Step 4: Simplify right side
    54,355.46x = 2,562,804,008.30
  5. Step 5: Solve for x
    x = 2,562,804,008.30/54,355.46
  6. Step 6: Final answer
    x = 47,148.97

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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.