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Finding the Fourth Proportional to 115,152, 172,728 and 32,048.16

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Solution

The fourth proportional to 115,152, 172,728 and 32,048.16 is: 48,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,152 : 172,728 = 32,048.16 : x
  2. Step 2: Convert to fraction form
    115,152/172,728 = 32,048.16/x
  3. Step 3: Cross multiply
    115,152x = 172,728 × 32,048.16
  4. Step 4: Simplify right side
    115,152x = 5,535,614,580.48
  5. Step 5: Solve for x
    x = 5,535,614,580.48/115,152
  6. Step 6: Final answer
    x = 48,072.24

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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.