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Finding the Fourth Proportional to 142,310.05, 213,465.08 and 53,583.46

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Solution

The fourth proportional to 142,310.05, 213,465.08 and 53,583.46 is: 80,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,310.05 : 213,465.08 = 53,583.46 : x
  2. Step 2: Convert to fraction form
    142,310.05/213,465.08 = 53,583.46/x
  3. Step 3: Cross multiply
    142,310.05x = 213,465.08 × 53,583.46
  4. Step 4: Simplify right side
    142,310.05x = 11,438,197,575.58
  5. Step 5: Solve for x
    x = 11,438,197,575.58/142,310.05
  6. Step 6: Final answer
    x = 80,375.19

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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.