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Finding the Fourth Proportional to 114,671.70, 172,007.55 and 85,147.20

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Solution

The fourth proportional to 114,671.70, 172,007.55 and 85,147.20 is: 127,720.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,671.70 : 172,007.55 = 85,147.20 : x
  2. Step 2: Convert to fraction form
    114,671.70/172,007.55 = 85,147.20/x
  3. Step 3: Cross multiply
    114,671.70x = 172,007.55 × 85,147.20
  4. Step 4: Simplify right side
    114,671.70x = 14,645,961,261.36
  5. Step 5: Solve for x
    x = 14,645,961,261.36/114,671.70
  6. Step 6: Final answer
    x = 127,720.80

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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.