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Finding the Fourth Proportional to 143,178.32, 214,801.32 and 140,798

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Solution

The fourth proportional to 143,178.32, 214,801.32 and 140,798 is: 211,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,178.32 : 214,801.32 = 140,798 : x
  2. Step 2: Convert to fraction form
    143,178.32/214,801.32 = 140,798/x
  3. Step 3: Cross multiply
    143,178.32x = 214,801.32 × 140,798
  4. Step 4: Simplify right side
    143,178.32x = 30,243,596,253.36
  5. Step 5: Solve for x
    x = 30,243,596,253.36/143,178.32
  6. Step 6: Final answer
    x = 211,230.28

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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.