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Finding the Fourth Proportional to 99,533.14, 137,357.37 and 54,212

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Solution

The fourth proportional to 99,533.14, 137,357.37 and 54,212 is: 74,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.14 : 137,357.37 = 54,212 : x
  2. Step 2: Convert to fraction form
    99,533.14/137,357.37 = 54,212/x
  3. Step 3: Cross multiply
    99,533.14x = 137,357.37 × 54,212
  4. Step 4: Simplify right side
    99,533.14x = 7,446,417,742.44
  5. Step 5: Solve for x
    x = 7,446,417,742.44/99,533.14
  6. Step 6: Final answer
    x = 74,813.45

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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.