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Finding the Fourth Proportional to 142,450.58, 213,706.11 and 53,701.94

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Solution

The fourth proportional to 142,450.58, 213,706.11 and 53,701.94 is: 80,564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,450.58 : 213,706.11 = 53,701.94 : x
  2. Step 2: Convert to fraction form
    142,450.58/213,706.11 = 53,701.94/x
  3. Step 3: Cross multiply
    142,450.58x = 213,706.11 × 53,701.94
  4. Step 4: Simplify right side
    142,450.58x = 11,476,432,696.85
  5. Step 5: Solve for x
    x = 11,476,432,696.85/142,450.58
  6. Step 6: Final answer
    x = 80,564.31

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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.