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Finding the Fourth Proportional to 142,576.94, 213,888.54 and 53,838.20

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Solution

The fourth proportional to 142,576.94, 213,888.54 and 53,838.20 is: 80,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,576.94 : 213,888.54 = 53,838.20 : x
  2. Step 2: Convert to fraction form
    142,576.94/213,888.54 = 53,838.20/x
  3. Step 3: Cross multiply
    142,576.94x = 213,888.54 × 53,838.20
  4. Step 4: Simplify right side
    142,576.94x = 11,515,373,994.23
  5. Step 5: Solve for x
    x = 11,515,373,994.23/142,576.94
  6. Step 6: Final answer
    x = 80,766.03

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1.5x scale

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.