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Finding the Fourth Proportional to 98,490.74, 135,917.01 and 53,778.74

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Solution

The fourth proportional to 98,490.74, 135,917.01 and 53,778.74 is: 74,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,490.74 : 135,917.01 = 53,778.74 : x
  2. Step 2: Convert to fraction form
    98,490.74/135,917.01 = 53,778.74/x
  3. Step 3: Cross multiply
    98,490.74x = 135,917.01 × 53,778.74
  4. Step 4: Simplify right side
    98,490.74x = 7,309,445,542.37
  5. Step 5: Solve for x
    x = 7,309,445,542.37/98,490.74
  6. Step 6: Final answer
    x = 74,214.55

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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.