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Finding the Fourth Proportional to 78,490.56, 108,340.32 and 44,978.88

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Solution

The fourth proportional to 78,490.56, 108,340.32 and 44,978.88 is: 62,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,490.56 : 108,340.32 = 44,978.88 : x
  2. Step 2: Convert to fraction form
    78,490.56/108,340.32 = 44,978.88/x
  3. Step 3: Cross multiply
    78,490.56x = 108,340.32 × 44,978.88
  4. Step 4: Simplify right side
    78,490.56x = 4,873,026,252.44
  5. Step 5: Solve for x
    x = 4,873,026,252.44/78,490.56
  6. Step 6: Final answer
    x = 62,084.23

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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.