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Finding the Fourth Proportional to 99,984.65, 137,993.84 and 57,534.98

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Solution

The fourth proportional to 99,984.65, 137,993.84 and 57,534.98 is: 79,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,984.65 : 137,993.84 = 57,534.98 : x
  2. Step 2: Convert to fraction form
    99,984.65/137,993.84 = 57,534.98/x
  3. Step 3: Cross multiply
    99,984.65x = 137,993.84 × 57,534.98
  4. Step 4: Simplify right side
    99,984.65x = 7,939,471,846.88
  5. Step 5: Solve for x
    x = 7,939,471,846.88/99,984.65
  6. Step 6: Final answer
    x = 79,406.91

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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.