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Finding the Fourth Proportional to 143,311.64, 214,969.59 and 54,570.06

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Solution

The fourth proportional to 143,311.64, 214,969.59 and 54,570.06 is: 81,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,311.64 : 214,969.59 = 54,570.06 : x
  2. Step 2: Convert to fraction form
    143,311.64/214,969.59 = 54,570.06/x
  3. Step 3: Cross multiply
    143,311.64x = 214,969.59 × 54,570.06
  4. Step 4: Simplify right side
    143,311.64x = 11,730,903,424.48
  5. Step 5: Solve for x
    x = 11,730,903,424.48/143,311.64
  6. Step 6: Final answer
    x = 81,855.90

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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.