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Finding the Fourth Proportional to 143,263.28, 214,894.96 and 54,496.32

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Solution

The fourth proportional to 143,263.28, 214,894.96 and 54,496.32 is: 81,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,263.28 : 214,894.96 = 54,496.32 : x
  2. Step 2: Convert to fraction form
    143,263.28/214,894.96 = 54,496.32/x
  3. Step 3: Cross multiply
    143,263.28x = 214,894.96 × 54,496.32
  4. Step 4: Simplify right side
    143,263.28x = 11,710,984,506.55
  5. Step 5: Solve for x
    x = 11,710,984,506.55/143,263.28
  6. Step 6: Final answer
    x = 81,744.50

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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.