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Finding the Fourth Proportional to 100,399.50, 138,551.31 and 55,687.50

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Solution

The fourth proportional to 100,399.50, 138,551.31 and 55,687.50 is: 76,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,399.50 : 138,551.31 = 55,687.50 : x
  2. Step 2: Convert to fraction form
    100,399.50/138,551.31 = 55,687.50/x
  3. Step 3: Cross multiply
    100,399.50x = 138,551.31 × 55,687.50
  4. Step 4: Simplify right side
    100,399.50x = 7,715,576,075.63
  5. Step 5: Solve for x
    x = 7,715,576,075.63/100,399.50
  6. Step 6: Final answer
    x = 76,848.75

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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.