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Finding the Fourth Proportional to 115,078.12, 172,638.96 and 44,953

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Solution

The fourth proportional to 115,078.12, 172,638.96 and 44,953 is: 67,438.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,078.12 : 172,638.96 = 44,953 : x
  2. Step 2: Convert to fraction form
    115,078.12/172,638.96 = 44,953/x
  3. Step 3: Cross multiply
    115,078.12x = 172,638.96 × 44,953
  4. Step 4: Simplify right side
    115,078.12x = 7,760,639,168.88
  5. Step 5: Solve for x
    x = 7,760,639,168.88/115,078.12
  6. Step 6: Final answer
    x = 67,438.01

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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.