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Finding the Fourth Proportional to 115,304.78, 172,975.02 and 48,745.16

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Solution

The fourth proportional to 115,304.78, 172,975.02 and 48,745.16 is: 73,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,304.78 : 172,975.02 = 48,745.16 : x
  2. Step 2: Convert to fraction form
    115,304.78/172,975.02 = 48,745.16/x
  3. Step 3: Cross multiply
    115,304.78x = 172,975.02 × 48,745.16
  4. Step 4: Simplify right side
    115,304.78x = 8,431,695,025.90
  5. Step 5: Solve for x
    x = 8,431,695,025.90/115,304.78
  6. Step 6: Final answer
    x = 73,125.29

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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.