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Finding the Fourth Proportional to 115,321.78, 172,994.98 and 48,768.64

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Solution

The fourth proportional to 115,321.78, 172,994.98 and 48,768.64 is: 73,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,321.78 : 172,994.98 = 48,768.64 : x
  2. Step 2: Convert to fraction form
    115,321.78/172,994.98 = 48,768.64/x
  3. Step 3: Cross multiply
    115,321.78x = 172,994.98 × 48,768.64
  4. Step 4: Simplify right side
    115,321.78x = 8,436,729,347.02
  5. Step 5: Solve for x
    x = 8,436,729,347.02/115,321.78
  6. Step 6: Final answer
    x = 73,158.16

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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.