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Finding the Fourth Proportional to 142,101.80, 212,871.90 and 92,216.60

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Solution

The fourth proportional to 142,101.80, 212,871.90 and 92,216.60 is: 138,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,101.80 : 212,871.90 = 92,216.60 : x
  2. Step 2: Convert to fraction form
    142,101.80/212,871.90 = 92,216.60/x
  3. Step 3: Cross multiply
    142,101.80x = 212,871.90 × 92,216.60
  4. Step 4: Simplify right side
    142,101.80x = 19,630,322,853.54
  5. Step 5: Solve for x
    x = 19,630,322,853.54/142,101.80
  6. Step 6: Final answer
    x = 138,142.68

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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.