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Finding the Fourth Proportional to 299,730.10, 449,595.15 and 78,114.10

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Solution

The fourth proportional to 299,730.10, 449,595.15 and 78,114.10 is: 117,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,730.10 : 449,595.15 = 78,114.10 : x
  2. Step 2: Convert to fraction form
    299,730.10/449,595.15 = 78,114.10/x
  3. Step 3: Cross multiply
    299,730.10x = 449,595.15 × 78,114.10
  4. Step 4: Simplify right side
    299,730.10x = 35,119,720,506.62
  5. Step 5: Solve for x
    x = 35,119,720,506.62/299,730.10
  6. Step 6: Final answer
    x = 117,171.15

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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.