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Finding the Fourth Proportional to 92,744.64, 139,155.84 and 30,421.44

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Solution

The fourth proportional to 92,744.64, 139,155.84 and 30,421.44 is: 45,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,744.64 : 139,155.84 = 30,421.44 : x
  2. Step 2: Convert to fraction form
    92,744.64/139,155.84 = 30,421.44/x
  3. Step 3: Cross multiply
    92,744.64x = 139,155.84 × 30,421.44
  4. Step 4: Simplify right side
    92,744.64x = 4,233,321,037.21
  5. Step 5: Solve for x
    x = 4,233,321,037.21/92,744.64
  6. Step 6: Final answer
    x = 45,644.91

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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.