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Finding the Fourth Proportional to 143,807.16, 215,571.42 and 54,992.28

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Solution

The fourth proportional to 143,807.16, 215,571.42 and 54,992.28 is: 82,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,807.16 : 215,571.42 = 54,992.28 : x
  2. Step 2: Convert to fraction form
    143,807.16/215,571.42 = 54,992.28/x
  3. Step 3: Cross multiply
    143,807.16x = 215,571.42 × 54,992.28
  4. Step 4: Simplify right side
    143,807.16x = 11,854,763,888.64
  5. Step 5: Solve for x
    x = 11,854,763,888.64/143,807.16
  6. Step 6: Final answer
    x = 82,435.14

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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.