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Finding the Fourth Proportional to 299,729.10, 449,593.65 and 78,113.10

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Solution

The fourth proportional to 299,729.10, 449,593.65 and 78,113.10 is: 117,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,729.10 : 449,593.65 = 78,113.10 : x
  2. Step 2: Convert to fraction form
    299,729.10/449,593.65 = 78,113.10/x
  3. Step 3: Cross multiply
    299,729.10x = 449,593.65 × 78,113.10
  4. Step 4: Simplify right side
    299,729.10x = 35,119,153,741.82
  5. Step 5: Solve for x
    x = 35,119,153,741.82/299,729.10
  6. Step 6: Final answer
    x = 117,169.65

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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.