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Finding the Fourth Proportional to 99,533.63, 137,356.41 and 54,821.63

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Solution

The fourth proportional to 99,533.63, 137,356.41 and 54,821.63 is: 75,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.63 : 137,356.41 = 54,821.63 : x
  2. Step 2: Convert to fraction form
    99,533.63/137,356.41 = 54,821.63/x
  3. Step 3: Cross multiply
    99,533.63x = 137,356.41 × 54,821.63
  4. Step 4: Simplify right side
    99,533.63x = 7,530,101,600.37
  5. Step 5: Solve for x
    x = 7,530,101,600.37/99,533.63
  6. Step 6: Final answer
    x = 75,653.85

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1.5x scale

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.