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Finding the Fourth Proportional to 101,991.42, 152,857.32 and 57,642.90

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Solution

The fourth proportional to 101,991.42, 152,857.32 and 57,642.90 is: 86,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.42 : 152,857.32 = 57,642.90 : x
  2. Step 2: Convert to fraction form
    101,991.42/152,857.32 = 57,642.90/x
  3. Step 3: Cross multiply
    101,991.42x = 152,857.32 × 57,642.90
  4. Step 4: Simplify right side
    101,991.42x = 8,811,139,211.03
  5. Step 5: Solve for x
    x = 8,811,139,211.03/101,991.42
  6. Step 6: Final answer
    x = 86,390.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.