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Finding the Fourth Proportional to 172,993.10, 259,635.45 and 78,368.90

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Solution

The fourth proportional to 172,993.10, 259,635.45 and 78,368.90 is: 117,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,993.10 : 259,635.45 = 78,368.90 : x
  2. Step 2: Convert to fraction form
    172,993.10/259,635.45 = 78,368.90/x
  3. Step 3: Cross multiply
    172,993.10x = 259,635.45 × 78,368.90
  4. Step 4: Simplify right side
    172,993.10x = 20,347,344,617.51
  5. Step 5: Solve for x
    x = 20,347,344,617.51/172,993.10
  6. Step 6: Final answer
    x = 117,619.40

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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.