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Finding the Fourth Proportional to 99,533, 137,355.54 and 54,821

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Solution

The fourth proportional to 99,533, 137,355.54 and 54,821 is: 75,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,533 : 137,355.54 = 54,821 : x
  2. Step 2: Convert to fraction form
    99,533/137,355.54 = 54,821/x
  3. Step 3: Cross multiply
    99,533x = 137,355.54 × 54,821
  4. Step 4: Simplify right side
    99,533x = 7,529,968,058.34
  5. Step 5: Solve for x
    x = 7,529,968,058.34/99,533
  6. Step 6: Final answer
    x = 75,652.98

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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.