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Finding the Fourth Proportional to 99,533.81, 137,356.66 and 54,821.81

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Solution

The fourth proportional to 99,533.81, 137,356.66 and 54,821.81 is: 75,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533.81 : 137,356.66 = 54,821.81 : x
  2. Step 2: Convert to fraction form
    99,533.81/137,356.66 = 54,821.81/x
  3. Step 3: Cross multiply
    99,533.81x = 137,356.66 × 54,821.81
  4. Step 4: Simplify right side
    99,533.81x = 7,530,141,128.67
  5. Step 5: Solve for x
    x = 7,530,141,128.67/99,533.81
  6. Step 6: Final answer
    x = 75,654.10

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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.