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Finding the Fourth Proportional to 143,706.76, 198,305.84 and 86,311.98

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Solution

The fourth proportional to 143,706.76, 198,305.84 and 86,311.98 is: 119,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,706.76 : 198,305.84 = 86,311.98 : x
  2. Step 2: Convert to fraction form
    143,706.76/198,305.84 = 86,311.98/x
  3. Step 3: Cross multiply
    143,706.76x = 198,305.84 × 86,311.98
  4. Step 4: Simplify right side
    143,706.76x = 17,116,168,272.87
  5. Step 5: Solve for x
    x = 17,116,168,272.87/143,706.76
  6. Step 6: Final answer
    x = 119,104.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.