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Finding the Fourth Proportional to 98,533.78, 135,976.62 and 53,211.77

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Solution

The fourth proportional to 98,533.78, 135,976.62 and 53,211.77 is: 73,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,533.78 : 135,976.62 = 53,211.77 : x
  2. Step 2: Convert to fraction form
    98,533.78/135,976.62 = 53,211.77/x
  3. Step 3: Cross multiply
    98,533.78x = 135,976.62 × 53,211.77
  4. Step 4: Simplify right side
    98,533.78x = 7,235,555,682.88
  5. Step 5: Solve for x
    x = 7,235,555,682.88/98,533.78
  6. Step 6: Final answer
    x = 73,432.23

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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.