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Finding the Fourth Proportional to 143,048.64, 214,489.28 and 43,178.88

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Solution

The fourth proportional to 143,048.64, 214,489.28 and 43,178.88 is: 64,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,048.64 : 214,489.28 = 43,178.88 : x
  2. Step 2: Convert to fraction form
    143,048.64/214,489.28 = 43,178.88/x
  3. Step 3: Cross multiply
    143,048.64x = 214,489.28 × 43,178.88
  4. Step 4: Simplify right side
    143,048.64x = 9,261,406,882.41
  5. Step 5: Solve for x
    x = 9,261,406,882.41/143,048.64
  6. Step 6: Final answer
    x = 64,743.06

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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.