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Finding the Fourth Proportional to 98,403.30, 135,785.34 and 55,374.48

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Solution

The fourth proportional to 98,403.30, 135,785.34 and 55,374.48 is: 76,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,403.30 : 135,785.34 = 55,374.48 : x
  2. Step 2: Convert to fraction form
    98,403.30/135,785.34 = 55,374.48/x
  3. Step 3: Cross multiply
    98,403.30x = 135,785.34 × 55,374.48
  4. Step 4: Simplify right side
    98,403.30x = 7,519,042,594.12
  5. Step 5: Solve for x
    x = 7,519,042,594.12/98,403.30
  6. Step 6: Final answer
    x = 76,410.47

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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.